If μ=60
∘
, then sinμ+cos(90
∘
−μ)=
- A2
3
- B3
- C2
1
- D2
3
Solution & Step-by-step Explanation
Given μ=60
∘
.
Using the trigonometric identity cos(90
∘
−θ)=sinθ, we can rewrite the expression:
sinμ+cos(90
∘
−μ)=sinμ+sinμ=2sinμ
Substitute μ=60
∘
:
Expression=2sin(60
∘
)
We know that sin(60
∘
)=
2
3
:
Expression=2×
2
3
=
3
∘
.
Using the trigonometric identity cos(90
∘
−θ)=sinθ, we can rewrite the expression:
sinμ+cos(90
∘
−μ)=sinμ+sinμ=2sinμ
Substitute μ=60
∘
:
Expression=2sin(60
∘
)
We know that sin(60
∘
)=
2
3
:
Expression=2×
2
3
=
3