Question

If x and y are complementary angles ,then
options:-
a.sin x = sin y
b.tan x = tan y
c.cos x= cos y
d.sec x = cosec y

answer?

Answer 1

Answer:

Given that 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 )]

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