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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

Sagot :

Answer:

D. d StartFraction StartRoot 3 EndRoot Over 2 EndFraction

Step-by-step 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

Answer:

d

Step-by-step explanation: