Question

if Q= sine^-1(sin(-600)) then find the value of Q

Answer 1

Answer:

THE ANSWER IS 60°

Step-by-step explanation:

sin−1{sin(−600∘)}

=sin−1{−sin(600∘)}

=sin−1{−sin(360∘×2−120∘)}

=sin−1{−sin(2π−120∘)}

∵sin(2π−A)=sin(−A)

=sin−1{−sin(−120∘)}

=sin−1{sin(120∘)}

=sin−1{sin(180∘−60∘)}

=sin−1{sin(60∘)}

=60∘

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