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Question

At θ=90 which of the following trigonometric ratios are not defined?

A
cot θ,sin θ
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B
tan θ,cosec θ
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C
cot θ,tan θ
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D
tan θ,sec θ
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Solution

The correct option is D tan θ,sec θ
As tan θ=sin θcos θ and at θ=90,cos 90=0. So tan θ is not defined at θ=90.

Similarly, sec θ=1cos θ. So, sec θ is also not defined at θ=90.

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