Question

Find the value of t, if t sin 60° cos 60° = tan 60° cos 45°
1. 2√2
2. 3√2
3. 6√2
4. 5√2

Answer 1

Correct Answer - Option 1 : 2√2

Given

 t sin 60° cos 60° = tan 60° cos 45°

Calculation

t × sin 60° cos 60° = tan 60° cos 45°

t × (√3/2) × (1/2) = √3 × (1/√2)

t × (√3/4) = (√3/√2)

t = 4/√2

t = 2√2

∴ Value of t is 2√2.