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Question

What is tanθ in ABC, if θ is increased by 30.

A
3
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B
13
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C
Not defined.
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Solution

The correct option is C Not defined.
In ABC, if θ is increased by 30, θ=60+30=90.
As the value of θ increases, the length of side AC decreases and eventually, points A and C coincide.

Then the length of AC will be '0' units.

tanA=BCAC=BC0, which is not defined.

Or, we can say that when θ is increased by 30, its value will be 90.
And tan 90 is not defined.

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