Question

Write the value of cosec² (90° − θ) − tan²θ.

Answer 1

Answer:

1

Step-by-step explanation:

Given :

cosec² ( 90 - Ф ) - tan² Ф

From complementary angle formula we know :

cosec² ( 90 - Ф ) =  sec² Ф

Replacing cosec² ( 90 - Ф ) by sec² Ф

sec² Ф - tan² Ф

From identity we know :

sec² x - tan² x = 1

= > sec² Ф - tan² Ф = 1

Therefore , the value of cosec² ( 90 - Ф ) - tan² Ф is 1 .