Question

(iv)
2 tan_45° + cos²30° - sin’60°​

Answer 1

QUESTION IS LITTLEBIT DIFFICULT I SAME WANT TO ASKED

Answer 2

Answer:

By trigonometric identities,

sin 60° = √3/2

tan 45° = 1

cos 30° = √3/2

Putting these values in 2 tan2 45° + cos2 30° - sin2 60°, we get

2 tan2 45° + cos2 30° - sin2 60° = 2(1)2 + (√3/2)2 – (√3/2)2

⇒ 2 tan2 45° + cos2 30° - sin2 60° = 2

Thus, 2 tan2 45° + cos2 30° - sin2 60° = 2.