Math, asked by Harsh1613, 10 months ago

If sin(alpha - beta) = 1/2 and cos(alpha+beta) = 1/2, where alpha and beta are positive angles, then
a) alpha=45°, beta=15° b) alpha=15°, beta=45° c) alpha=60°, beta=15° d)NOTA

Answers

Answered by MediocreMin
1

Answer:

The correct option is (a)

Step-by-step explanation:

 \alpha  -  \beta  =  \sin ^{ - 1} ( \frac{1}{2} ) = 30   \\  \alpha   + \beta  =  \ \cos ^{ - 1} ( \frac{1}{2} ) = 60  \\ 2 \alpha  = 90 \\  \alpha  = 45 \\  \beta  = 15

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