Question

If A and B are complementary angles, then
(a)sin A = sin B
(b)cos A = cos B
(c)tan A = tan B
(d)sec A = cosec B

Answer 1

SOLUTION :  

The correct option is  (d) = sec A = cosec B

Given : A and B are complementary angles

A + B = 90°  

A + B = 90°  

A = 90° - B  

On putting sec on both sides,  

sec A = sec (90° - B )

sec A = cosec B

[ sec (90° -θ ) = cosec θ )]

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

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

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

HOPE THIS ANSWER WILL HELP YOU…

Answer 2

The correct option is d. sec A = cosec B