Question

Find the value of cos45° sec30° sin²60° tan30° 
1. √2/3
2. 1/4
3. √2/4
4. √2

Answer 1

Correct Answer - Option 3 : √2/4

Given:

cos45° sec30° sin260° tan30° = x

Consept used:

cos45° = 1/√2       sin60° = √3/2

tan30° = 1/√3        sec30° = 2/√3

Calculation:

⇒ cos45° sec30° sin260° tan30° = x

⇒ (1/√2) × (2/√3) × (√3/2)² × (1/√3) = x

⇒ (1 × 2 × 3 × 1)/(√2 × √3 × 4 × √3) = x

⇒ x = √2/4

∴ The value is √2/4.