Question

Express cos 75° + cot 75° in terms of angles between 0° and 30°.

Answer 1

Trigonometry is the study of the relationship between the sides and angles of a triangle.

Two angles are said to be complementary of their sum is equal to 90° .

θ & (90° - θ) are complementary angles.

SOLUTION :

Given : cos 75° + cot 75°

cos 75° + cot 75° = cos (90°−15°) + cot (90°−15°)

= sin 15° + tan 15°

[cos (90 - θ) = sin θ , cot (90 - θ) = tan θ]

Hence,  cos 75° + cot 75° = sin 15° + tan 15° .

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

$<I><b><a>Hey there ✔✌✌⭐☺⭐⭐☺⭐⭐☺⭐⭐☺⭐⭐☺⭐ here is the answer....... .$


cos 75° + cot 75°
= cos ( 90° - 15°) + cot (90°-15°)
= sin 15° + tan 15°

since we know that cos (90°- ©)= sin ©

and cot (90°-©)= tan ©

Hope it helps you ✔✔✌✌⭐☺⭐⭐☺⭐⭐☺⭐⭐☺⭐⭐