Question

What is the value of 1 − 2sin2(105°)?

a Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction

b Negative one-half

c One-half

d StartFraction StartRoot 3 EndRoot Over 2 EndFraction

Answer 1

Answer: D

Explanation:

It IS sqrt3/22

Answer 2

D. d StartFraction StartRoot 3 EndRoot Over 2 EndFraction

Explanation:

What is the value of 1 − 2sin^2(105°)?

Given the expression

1 − 2sin²(105°)

= 1 - 2(sin105)²

= 1 - 2(0.9659)²

= 1 - 2(0.9330)

= 1 - 1.8660

= 0.8660

0.8660 can also be expressed as √3/2

Hence 1 − 2sin²(105°) is √3/2