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Question

If (2cos2A1)(tan3A1)=0 and if one of the value of angle A is 30 find the other value of angle A.

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Solution

Given, (2cos2A1)(tan3A1)=0
Either 2cos2A1=0 or tan3A1=0
cos2A=12 or tan3A=1
cos2A=cos60 or tan3A=tan45
2A=60 or 3A=45
A=30 or A=15
A=30,15
Hence, other value of angle A is 15.

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