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Question

cot1(0.2)=c,then find tan1(5).

A
- c
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B
2c
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C
c2
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D
None of these
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Solution

The correct option is A - c
Well, in this problem we will be using two properties.
We know cot1(x)=tan1(1x)cot1(0.2)=tan1(10.2)=tan1(5)So,tan1(5)=cBut we are asked to find tan1(5)
We know one more property of inverse trigonometric functions. Well, this is not just the property of inverse trigonometric functions. This is the property of odd functions according to which -
tan1(x)= tan1 (x)(Since, tan1(x) is an odd function)So,tan1(5)=tan1(5)=c

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