Question

Assertion (A): cos20°-sin20° > 0
Reason (R): If theta belongs R , cos theta - sin theta > 0
a) Both A and R are correct and R is correct explanation of A
b) Both A and R are correct and R is not correct explanation of A
c) A is correct, R is incorrect
d) A is incorrect, R is correct
please give complete explanation with a photo​

Answer 1

Correct Option:- (c) A is correct, R is incorrect.

Because,

In case of “theata = 60” and “R belongs to theta” .

So, sin(60°) = √3/2 and cos(60°) = 1/2 .

cos(60) - sin(60) = -0.367 .

And here, cos(60) - sin(60) < 0 which proved that (R) statement is wrong .

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