Write the value of (1 – cos2θ) cosec2 θ.

Consider (1 – cos2θ) cosec2 θ = (sin2 θ) × cosec2 θ(∵ sin2 θ + cos2 θ = 1)= 1

Q2 of 186 Page 345

Write the value of (1 – cos²θ) cosec² θ.

Consider (1 – cos²θ) cosec² θ = (sin² θ) × cosec² θ

(∵ sin² θ + cos² θ = 1)

= 1

If m = (cos θ – sin θ) and n = (cos θ + sin θ) then show that

Write the value of (1 – sin²θ) sec² θ.

Write the value of (1 + tan²θ) cos² θ.

Write the value of (1 + cot²θ) sin² θ.