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Question

In which one of the following subsets , cos2A + sin2A = 1 is valid


A

0 < A < 90

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B

0 < A 90

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C

0 A < 90

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D

0 A 90

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Solution

The correct option is D

0 A 90


sinA and cosA exists for A = 0 as sin0 = 0 and cos0 = 1

sinA and cosA exists for A = 90 as sin90 = 0 and cos90 = 0

We know sinA and cosA exists for any angle between 0 an 90.

Therefore the most appropriate subset would be option (d)


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