https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:trig/x9e81a4f98389efdf:inverse-trig/v/inverse-trig-functions-arcsin 2021-05-05T14:53:24Z Intro to arcsine Sal introduces arcsine, which is the inverse function of sine, and discusses its principal range. Sal Khan video https://cdn.kastatic.org/googleusercontent/e7kHfS21BgLWlQwozXN5x-JpyURKVhi-YRQGhhQ9eMu1BiUMRTTfA3I-Z_quP79YAbgQWgZZlJJ88XaUQgx8Kwc Intro to arcsine Sal introduces arcsine, which is the inverse function of sine, and discusses its principal range. https://cdn.kastatic.org/ka-youtube-converted/JGU74wbZMLg.mp4/JGU74wbZMLg.mp4 636 Basic of inverse trigonometric functions https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:trig/x9e81a4f98389efdf:inverse-trig/v/inverse-trig-functions-arctan 2021-05-05T14:53:19Z Intro to arctangent Sal introduces arctangent, which is the inverse function of tangent, and discusses its principal range. Sal Khan video https://cdn.kastatic.org/googleusercontent/1-kfCWjLwz8b7RLufw8fpMhDbwD4zj9QIb3p5hy931A8LwMnUXnDUmgoezqNDphfX3cQJiN782hZ5WmY3Xh4Kr3NkQ Intro to arctangent Sal introduces arctangent, which is the inverse function of tangent, and discusses its principal range. https://cdn.kastatic.org/ka-youtube-converted/Idxeo49szW0.mp4/Idxeo49szW0.mp4 606 Basic of inverse trigonometric functions https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:trig/x9e81a4f98389efdf:inverse-trig/v/inverse-trig-functions-arccos 2021-05-05T14:53:24Z Intro to arccosine Sal introduces arccosine, which is the inverse function of cosine, and discusses its principal range. Sal Khan video https://cdn.kastatic.org/googleusercontent/Kn7jHIC91KIAdhQm_J_v4m28F7IXPVomN-FPyttbJZ2UP7Rno9z3a8WtcoZEXvV65VT_24V6Ls7lYEh_igc5kboM Intro to arccosine Sal introduces arccosine, which is the inverse function of cosine, and discusses its principal range. https://cdn.kastatic.org/ka-youtube-converted/eTDaJ4ebK28.mp4/eTDaJ4ebK28.mp4 818 Basic of inverse trigonometric functions https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:inverse-trigonometric-functions-ncert-new/x6f66cbee9a2f805b:basic-concepts/v/domain-and-range-of-inverse-functions 2025-05-22T13:12:03.767544849Z Domain and range of inverse functions In this video, we share some observations on the domain and range of inverse trigonometric functions. We realise that the sets for the range of these functions are selected keeping a few things in mind - the output should be unique for every input, the graphs should be as consistent and continuous as possible. We use these principles to get to these sets ourselves. We then draw their graphs to see if these principles make sense. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Domain and range of inverse functions In this video, we share some observations on the domain and range of inverse trigonometric functions. We realise that the sets for the range of these functions are selected keeping a few things in mind - the output should be unique for every input, the graphs should be as consistent and continuous as possible. We use these principles to get to these sets ourselves. We then draw their graphs to see if these principles make sense. https://cdn.kastatic.org/ka-youtube-converted/cxUcpe7neSY.mp4/cxUcpe7neSY.mp4 767 Basic of inverse trigonometric functions https://www.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-2/x6a634f0b79812b7f:inverse-trigonometric-functions/v/graph-of-sine-inverse-function 2025-05-05T08:14:25.350149109Z Graph of sine inverse function Plotting the graphs of inverse trigonometric functions can seem unintuitive at first. But don’t worry! All you need is the graph of the sine function and an inquisitive mind, and together, we'll successfully plot the inverse sine function. Kushagra Thakral video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Graph of sine inverse function Plotting the graphs of inverse trigonometric functions can seem unintuitive at first. But don’t worry! All you need is the graph of the sine function and an inquisitive mind, and together, we'll successfully plot the inverse sine function. https://cdn.kastatic.org/ka-youtube-converted/tuBUQHgmZtI.mp4/tuBUQHgmZtI.mp4 580 Basic of inverse trigonometric functions https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:trig/x9e81a4f98389efdf:inverse-trig/e/inverse_trig_functions 2025-05-05T08:14:25.350149109Z Evaluate inverse trig functions Given a sine, cosine, or tangent value, find the principle angle who has this value. In other words, find the arcsine, arccosine, or arctangent of that value. Tomer Gal exercise https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:inverse-trigonometric-functions-ncert-new/x6f66cbee9a2f805b:basic-concepts/v/principal-value-of-inverse-functions 2025-05-22T13:12:03.767544849Z Principal value of inverse functions In this video, we find the principal values of a few inverse trigonometric functions. The approach that we follow here is to figure out the quadrant first. And then find the angle in that quadrant that gives the same output as the input for our given inverse function. We first find principal values for sin inverse and cot inverse and then solve more practice problems. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Principal value of inverse functions In this video, we find the principal values of a few inverse trigonometric functions. The approach that we follow here is to figure out the quadrant first. And then find the angle in that quadrant that gives the same output as the input for our given inverse function. We first find principal values for sin inverse and cot inverse and then solve more practice problems. https://cdn.kastatic.org/ka-youtube-converted/mVOdFVsn8HA.mp4/mVOdFVsn8HA.mp4 308 Basic of inverse trigonometric functions https://www.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-2/x6a634f0b79812b7f:inverse-trigonometric-functions/v/evaluating-itf-expressions 2025-05-22T13:12:03.767544849Z Evaluating ITF expressions In this video, we solve two problems involving expressions with inverse functions. The idea here is to break down the expression into individual inverse functions and find principal values for each of them. We get the answer by adding back the values for each function. We first solve an expression with inverse of tan, sin, and cos. The second one involves inverse of tan and sec. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Evaluating ITF expressions In this video, we solve two problems involving expressions with inverse functions. The idea here is to break down the expression into individual inverse functions and find principal values for each of them. We get the answer by adding back the values for each function. We first solve an expression with inverse of tan, sin, and cos. The second one involves inverse of tan and sec. https://cdn.kastatic.org/ka-youtube-converted/RIHJe5c6EDs.mp4/RIHJe5c6EDs.mp4 320 Basic of inverse trigonometric functions https://www.khanacademy.org/math/revision-term-1-ncert-math-class-12/x6a634f0b79812b7f:week-2/x6a634f0b79812b7f:inverse-trigonometric-functions/v/evaluating-inverse-angle-outside-principal-branch 2025-05-22T13:12:03.767544849Z Evaluating inverse (angle outside principal branch) In this video, we find the principal values of inverse trigonometric functions when the input angle lies outside the principal value branch. We realise that in such scenarios, the inverse and trigonometric functions don't automatically cancel each other. The approach that we follow here is to figure out the quadrant first. And then find the angle in that quadrant that gives the same output as the input for our given inverse function. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Evaluating inverse (angle outside principal branch) In this video, we find the principal values of inverse trigonometric functions when the input angle lies outside the principal value branch. We realise that in such scenarios, the inverse and trigonometric functions don't automatically cancel each other. The approach that we follow here is to figure out the quadrant first. And then find the angle in that quadrant that gives the same output as the input for our given inverse function. https://cdn.kastatic.org/ka-youtube-converted/Y5iykY7E-to.mp4/Y5iykY7E-to.mp4 465 Basic of inverse trigonometric functions https://www.khanacademy.org/math/grade-12-math-snc-aligned/x35fdd21198d6755b:graphs-of-inverse-trigonometric-functions/x35fdd21198d6755b:untitled-134/e/principal-value-of-inverse-trig-function 2025-05-05T08:14:25.350149109Z Principal value of inverse trig function find principal value of ivt standard angles. exercise https://www.khanacademy.org/math/grade-12-math-snc-aligned/x35fdd21198d6755b:graphs-of-inverse-trigonometric-functions/x35fdd21198d6755b:untitled-134/e/evaluating-expressions-with-inverse-functions 2025-05-22T15:18:37.416023755Z Evaluating expressions with inverse functions Evaluating expressions with inverse functions Ashish Gupta exercise