Question

sin2 60° + cos2 45°​

Answer 1

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Answer 2

the value of expression is √3/2

Correct question

sin2(60°) + cos2(45°)

Given

• expression of trigonometry

To find

• the value of the given expression

Solution

we are provided with trigonometric expression of sin and cos and attracted to find the value of the given expression.

Given expression,

sin2 60° + cos2 45°

or, 2sin 60 cos 60 + cos2(45) (using equation of sin)

or, 2sin 60 cos 60 + cos 90

substituting values,

or, 2 (root 3/2). 1/2 + 0

or, root 3/2

Therefore, the value of expression is √3/2