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Question

In ΔABC, right angled at B, if A is made smaller and smaller till it becomes zero, find the value of sin A and cos A.


A

0, 1

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B

0, 3

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C

0, Not defined

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D

Not defined, 0

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Solution

The correct option is A

0, 1


A gets smaller and smaller and the length of the side BC decreases. The point C gets closer to point B and finally A becomes very close to zero. AC becomes almost the same as AB.

When BC gets very close to zero, the value of sin A = BCAC is very close to zero

and AC becomes equal to AB which makes cos A = ABAC becomes close to 1

So, when A = 0, we define sin A=sin 0 = 0

cos A=cos 0 = 1

With sin and cos ratios of 0 known, other ratios can be easily determined.


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