What is the value of (1 + cot2θ) sin2θ?

To find: (1 + cot2θ) sin2θ∵ 1 + cot2 θ = cosec2 θ∴ (1 + cot2θ) sin2θ = cosec2 θ sin2 θAlso,

Q3 of 153 Page 7

What is the value of (1 + cot²θ) sin²θ?

To find: (1 + cot²θ) sin²θ

∵ 1 + cot² θ = cosec² θ

∴ (1 + cot²θ) sin²θ = cosec² θ sin² θ

Also,

Define an identity.

What is the value of (1 – cos²θ) cosec²θ?

If sec θ + tanθ = x, write the value of sec θ − tan θ in terms of x.