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Grade 12th passTrigonometry

Sir I have doubt on both the questions please answer....

Question image for Sir I have doubt on both the questions please ans
Profile image of deepak
7 Years agoGrade 12th pass
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1 Answer

Profile image of Aditya Gupta
7 Years ago
in first question, set cos inverse x= y, or x=cosy
so we have cos inverse cos 2y, but x is less than zero, so 2y lies between pie to 2pie. also, cos(2pie-2y)=cos2y
so answer is 2π-2cos-1(x)
in second question, set sin inverse x=z or x=sinz
so we have sin inverse sin3z, so answer is 3z or 3sin-1x