Question

Prove That :
4 tan 30°×sin 45°×sin 60°×sin 90°= √2
​

Answer 1

LHS:

= 4 × 1/√3 × 1/√2× √3/2× 1

= 4× √3/2 × 1/√6 ×1

= 2√3 × 1/√6 ×1

= 2/√2 × 1

= 2√2/2

= √2

RHS:

= √2