Question

Make the list of trigonometric ratios in a right triangle​

Answer 1

✰ Qᴜēsᴛíõñ :-

Make the list of trigonometric ratios in a right triangle

✪ Åñswēʀ :-

Refer the attachment first

Trigonometric ratios in a right triangle :-

① sin A ➙ Perpendicular/Hypotenuse

➙ BC/AC

② cos A ➙ Base/Hypotenuse

➙ AB/AC

③ tan A ➙ Perpendicular/Base

➙ BC/AB

④ cosec A ➙ Hypotenuse/Perpendicular

➙ AC/BC

⑤ sec A ➙ Hypotenuse/Base

➙ AC/AB

⑥ cot A ➙ Base/Perpendicular

➙ AB/BC

Answer 2

Answer:

A trigonometric identity is an equation involving trigonometric ratios of an angle, where the equation holds true for a defined range of values of the angle.

For the right triangle ABC, let 0°= A = 90°

1) cos2 A + sin2 A = 1.

2) cos2 A =1 - sin2 A.

3) sin2 A =1 - cos2 A.

4) sec2 A - tan2 A = 1.

5) 1 + tan2 A = sec2 A.

6) tan2 A = sec2 A – 1.

7) cosec2 A - cot2 A = 1.

8) cot2 A + 1 = cosec2 A.

9) cot2 A = cosec2 A – 1 .

10) sec A - tan A = 1sec A + tan A

11) cosec A - cot A = 1cosec A + cot A