Question

9. Evaluate : 2 tan245° + cos230° - sin60°​

Answer 1

Answer:

Given:

We have to evalute 2 tan2 45° + cos2 30° - sin2 60°

Formula Used:

tan45° = 1

Cos30° = √3/2

Sin60° = √3/2

Calculation:

2 tan2 45° + cos2 30° - sin2 60°

⇒ 2 × 12 + (√3/2)2 – (√3/2)2

⇒ 2 + 3/4 – 3/4

⇒ 2

∴ The value of 2 tan2 45° + cos2 30° - sin2 60° is 2.