Answer:
Hello armyyy
Step-by-step explanation:
Consider the given expression
sin(90∘+θ)cosθ+sin(180∘+θ)sin(−θ)+cotθtan(90∘+θ)
We know that
sin(90∘+θ)=cosθ
sin(−θ)=−sinθ
sin(180∘+θ)=−sinθ
tan(90∘+θ)=−cotθ
Therefore,
=cosθcosθ+−sinθ−sinθ−cotθcotθ
=1+1−1
=1
Hence, the value is 1.
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Verified answer
Answer:
Hello armyyy
Step-by-step explanation:
Consider the given expression
sin(90∘+θ)cosθ+sin(180∘+θ)sin(−θ)+cotθtan(90∘+θ)
We know that
sin(90∘+θ)=cosθ
sin(−θ)=−sinθ
sin(180∘+θ)=−sinθ
tan(90∘+θ)=−cotθ
Therefore,
=cosθcosθ+−sinθ−sinθ−cotθcotθ
=1+1−1
=1
Hence, the value is 1.