Question

Cosec^2 45° sec^2 30° sin^2 90° cos 60°=4/3

Answer 1

Explanation:

Given to prove,

cosec²45°.sec²30°.sin²90°.cos60°=4/3

consider LHS,

cosec²45°.sec²30°.sin²90°.cos60°

⇒(√2)²(2/√3)²(1)².(1/2)

⇒(2)(4/3)(1)(1/2)

⇒(2×4)/(3×2)

⇒(8/6)

⇒4/3=RHS

∴LHS =RHS

Hence proved

HOPE THIS WOULD BE HELPFUL FOR YOU

Answer 2

Answer:

LHS: cosec^2 45° x sec^2 30° × sin^2 90° x cos 60°

Explanation:

(√2)^2 × (2/√3)^2 ×(1)^2 × 1/2

2×(4/3)×1×(1/2)

(8/3)×(1/2)

= 4/3 = RHS