https://www.khanacademy.org/math/geometry-home/right-triangles-topic/intro-to-the-trig-ratios-geo/v/basic-trigonometry 2023-04-19T21:28:53.788177796Z Intro to the trigonometric ratios Sin, cos, and tan are trigonometric ratios that relate the angles and sides of right triangles. Sin is the ratio of the opposite side to the hypotenuse, cos is the ratio of the adjacent side to the hypotenuse, and tan is the ratio of the opposite side to the adjacent side. They are often written as sin(x), cos(x), and tan(x), where x is an angle in radians or degrees. Sal Khan video https://cdn.kastatic.org/googleusercontent/92f-z9P3xlQjRzRxw0jbZbOpAzwmjBTqS0jsZc35x2__HYRgkdQOu9L4be8LG41cffV9nRfKOwGzLFG8nw-Oi_en Intro to the trigonometric ratios Sin, cos, and tan are trigonometric ratios that relate the angles and sides of right triangles. Sin is the ratio of the opposite side to the hypotenuse, cos is the ratio of the adjacent side to the hypotenuse, and tan is the ratio of the opposite side to the adjacent side. They are often written as sin(x), cos(x), and tan(x), where x is an angle in radians or degrees. https://cdn.kastatic.org/ka-youtube-converted/Jsiy4TxgIME.mp4/Jsiy4TxgIME.mp4 557 Trigonometric ratios https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-trig-ratios-intro/v/basic-trigonometry-ii 2021-06-30T17:32:36Z Trigonometric ratios in right triangles Sal shows a few examples where he starts with the two legs of a right triangle and he finds the trig ratios of one of the acute angles. Sal Khan video https://cdn.kastatic.org/googleusercontent/cwpGy84NzSmhKdw05CgXGtrk00QP2OcirhTztXczYdrISg6awjAEHFhgQLuF8VUYPmXsM-LOJBMBVSmZ3yP555zf Trigonometric ratios in right triangles Sal shows a few examples where he starts with the two legs of a right triangle and he finds the trig ratios of one of the acute angles. https://cdn.kastatic.org/ka-youtube-converted/G-T_6hCdMQc.mp4/G-T_6hCdMQc.mp4 731 Trigonometric ratios https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-solve-for-a-side/v/example-trig-to-solve-the-sides-and-angles-of-a-right-triangle 2021-06-30T17:32:38Z Solving for a side in right triangles with trigonometry Sal is given a right triangle with an acute angle of 65° and a leg of 5 units, and he uses trigonometry to find the two missing sides. Sal Khan video https://cdn.kastatic.org/googleusercontent/X0ECxxkRbmZu7H78vm4EbH8BRKYqPBGlzkuAdFqDsmG5d33yLEW3qY54S02C0-YF6OUMI-SPnXfHJYAyuzICHfCYJQ Solving for a side in right triangles with trigonometry Sal is given a right triangle with an acute angle of 65° and a leg of 5 units, and he uses trigonometry to find the two missing sides. https://cdn.kastatic.org/ka-youtube-converted/l5VbdqRjTXc.mp4/l5VbdqRjTXc.mp4 424 Trigonometric ratios https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-complementary-angles/v/sine-and-cosine-of-complements-example 2020-11-15T14:51:34Z Using complementary angles Sal solved the following problem: Given that cos(58°)=0.53, find sin(32°). Sal Khan video https://cdn.kastatic.org/googleusercontent/zzanWAOY9ojp0mfhBLPWlcFEgMbyEOUSZOOrwcdzxMeZjp5CCDM_pGgwSu7uOPZmCvd8b9mnxKc52uEjHEJSdOA Using complementary angles Sal solved the following problem: Given that cos(58°)=0.53, find sin(32°). https://cdn.kastatic.org/ka-youtube-converted/yiH6GoscimY.mp4/yiH6GoscimY.mp4 245 Trigonometric ratios https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-solve-for-an-angle/e/solve-for-an-angle-in-a-right-triangle 2024-09-04T17:59:01.633715485Z Solve for an angle in right triangles Given two sides in a right triangle, find one of the acute angles using trigonometry. Tomer Gal exercise https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-complementary-angles/e/relate-ratios-in-right-triangles 2022-09-10T02:03:40.164764806Z Relate ratios in right triangles We can describe the trigonometric ratios from a single right triangle in terms of either acute angle. The relationships hold for all complementary angle pairs. exercise https://www.khanacademy.org/math/10-mr-foundation/x09747e87495927f2:geometry/x09747e87495927f2:into-to-trigonometric-ratios/e/finding-trigonometric-ratios 2026-04-08T01:15:04.085520103Z Find trigonometric ratios using the Pythagorean theorem How to find sec of an angle when sin is given? Or any other trigonometric ratio? Let's practice some problems that test this skill. ashish exercise https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-trig-ratios-intro/a/finding-trig-ratios-in-right-triangles 2022-09-10T02:03:40.164764806Z Trigonometric ratios in right triangles Learn how to find the sine, cosine, and tangent of angles in right triangles. article https://www.khanacademy.org/math/trigonometry/trigonometry-right-triangles/sine-and-cosine-of-complementary-angles/a/trig-ratios-of-special-triangles 2025-03-12T14:20:10.072734823Z Trig ratios of special triangles Learn to find the sine, cosine, and tangent of 45-45-90 triangles and also 30-60-90 triangles. article https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-trig-ratios-intro/e/trigonometry_1 2026-04-01T11:24:50.133517701Z Trigonometric ratios in right triangles Given the side lengths of a right triangle, find the sine, cosine, or tangent of one of the acute angles. Tomer Gal exercise https://www.khanacademy.org/math/9th-grade-math-revised-k-to-10-3-terms/x1e64c39423990571:3rd-quarter/x1e64c39423990571:trigonometric-ratios/v/intro-to-heights-and-distances 2020-08-19T18:08:11Z Intro to heights and distances Let's get introduced to heights and distances. Let's learn the meaning of the terms - 'line of sight', 'angle of elevation', and 'angle of depression'. Aanand Srinivas video https://cdn.kastatic.org/googleusercontent/rou31Q6o1bYVnUOnOffSv4-ikH4zYKR6PEk51p7ZS5yKyqSqwiNqKoUlTT4CP4jttDCT01YiXmSmf7ixbwSfbPMA Intro to heights and distances Let's get introduced to heights and distances. Let's learn the meaning of the terms - 'line of sight', 'angle of elevation', and 'angle of depression'. https://cdn.kastatic.org/ka-youtube-converted/TgQs7k5p2Ag.mp4/TgQs7k5p2Ag.mp4 767 Trigonometric ratios https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-modeling-with-right-triangles/a/angles-of-elevation-and-depression 2022-09-10T02:03:40.164764806Z Angles of elevation and depression Learn what  the terms angle of elevation and angle of depression mean. The words may be big but their meaning is pretty basic! article https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-modeling-with-right-triangles/v/angle-to-aim-to-get-alien 2021-06-30T17:32:40Z Right triangle word problem Sal solves a modeling problem where he finds the necessary angle to shoot at a vicious alien. Sal Khan video https://cdn.kastatic.org/googleusercontent/dlKu1szoXgEqwAoKxoMQLwa9LQVPo-o5Xt6xJ7m4NixSAhQDy0ixvWC3z9NTDTrLNi4qYlA-wQGTGhmRy0ab_ypT Right triangle word problem Sal solves a modeling problem where he finds the necessary angle to shoot at a vicious alien. https://cdn.kastatic.org/ka-youtube-converted/aHzd-u35LuA.mp4/aHzd-u35LuA.mp4 275 Trigonometric ratios https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-modeling-with-right-triangles/e/applying-right-triangles 2026-05-06T06:30:43.913440672Z Right triangle trigonometry word problems Solve word problems by modeling real-world (and not-so-real) situations as right triangles and using trigonometry. Tomer Gal exercise https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-modeling-with-right-triangles/a/right-triangle-trigonometry-review 2024-11-10T11:54:31.281000574Z Right triangle trigonometry review Review right triangle trigonometry and how to use it to solve problems. article