Q22 of 153 Page 7

If 5x = sec θ and , find the value of .

Given: 5x = sec θ

………(i)

And

………(ii)

To find:

Consider [Using (i)]

[Using (ii)]

Now, as 1 + tan² θ = sec² θ

⇒ 1 = sec² θ – tan² θ

If cosec²θ (1 + cos θ) (1 − cos θ) = λ, then find the value of λ.

If sin²θ cos²θ (1 + tan²θ) (1 + cot²θ) = λ, then find the value of λ.

If cosec θ = 2x and , find the value of

If sec θ + tan θ = x, then sec θ =