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Cos ^(-x)=π-cos^x for x=[-1,1]

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Cos ^(-x)=π-cos^x for x=[-1,1]

Posted by Tasmiya Firdose 3 years, 10 months ago

CBSE > Class 12 > Mathematics

1 answers

Shivansh Kaushik 3 years, 10 months ago

Let cosA=x then cos(π−A)=−cosA=−x Hence, cos−1x=A cos−1(−x)=π−A Adding them, cos−1x+cos−1(−x)=A+π−A⇒cos−1x+cos−1(−x)=π⇒cos−1(−x)=π−cos−1(x) This -1 is inverse here. Try to write each step clearly and you will get the answer.

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