and , then prove that .

33

Sin⁸θ – cos⁸θ = (1 – 2sin²θcos²θ)(sin²θ – cos²θ). Prove identity.

34

Prove that: (sin⁴θ – cos⁴θ + 1) cosec²θ = 2

36

Evaluate the following: sin²25° + sin²65° + √3.(tan5°tan15°tan30°tan75°tan85°)

37

Prove that: .