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prove that cos(tan-1{cos(tan-1x)}) = (x^2+1/x^2+2)^1/2

prove that cos(tan-1{cos(tan-1x)}) = (x^2+1/x^2+2)^1/2

Grade:12

1 Answers

Amit
405 Points
3 years ago
Hi there.. Write tan-¹x as cos-¹1/√1+x².. the ques reduces to cos(tan-¹(1/√1+x²). Again write tan-¹1/√1+x² as cos-¹(√1+x²/√2+x²)... I am able to write this.. for simplification you can let tan-¹x as y and find value of cosy..

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