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Question

Answer the question number 6
Q.6. Find the principal value of sin-1-32+cos-1-32
Ans : π2

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Solution

Dear student,
Here is the solution of your asked query:
Q.6. sin-1-32+cos-1-32 =-sin-132+π-cos-132 {Since, sin-1-x=-sin-1x and cos-1-x=π-cos-1x for all x-1,1} =-sin-1sinπ3+π-cos-1cosπ6 =-π3+π-π6 {since sin-1sinθ=θ and cos-1cosθ=θ} =π-π3+π6 =π-π2 =π2
Regards

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