Question

find the value of 3tan²26° – 3cosec²64°

Answer 1

Hey there!!

Here's your answer..

3 cosec² 64° can be written as 3 sec² (90° - 64°) which is 3 sec² (26°)

Because, sec (90° - α) = cosec (α)

As asked, we are required to find 3 tan² 26° – 3 cosec² 64°

Which is equal to 3 tan² 26° - 3 sec² 26° = 3 ( tan² 26° - sec² 26°)

We know that sec² α - tan² α = 1 ⇒ tan² α - sec² α = - 1

So, 3 ( tan² 26° - sec² 26°) = 3 ( - 1) = - 3

So, the value of 3 tan² 26° – 3 cosec² 64° is equal to - 3 

Hope it helped you!!