Consider cot2 θ – = (cot2 θ) – (cosec2 θ)= – (cosec2 θ – cot2 θ)(∵ 1 + cot2 θ = cosec2 θ)= – 1

Q6 of 186 Page 345

Write the value of .

Consider cot² θ –

= (cot² θ) – (cosec² θ)

= – (cosec² θ – cot² θ)

(∵ 1 + cot² θ = cosec² θ)

= – 1

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

Write the value of .

Write the value of sin θ cos (90° – θ) + cos θ sin (90° – θ).

Write the value of cosec² (90° – θ) – tan² θ.