Question

Given sin α = 1/2 and cos β= 1/2 , then the value of (α+ β) is _______ ,where (0° ≤α ,β≤90° ) ​

Answer 1

Step-by-step explanation:

• From the question,
• $\alpha = \sin {}^{ - 1} ( \frac{1}{2} ) \: \: and \: \: \beta = \cos {}^{ - 1} ( \frac{1}{2} )$
• Therefore,
• $\alpha + \beta = \sin {}^{ - 1} ( \frac{1}{2} ) + \cos {}^{ - 1} ( \frac{1}{2} )$
• $= > \alpha + \beta = \frac{\pi}{2}$
• Because
• $\sin {}^{ - 1} (x) + \cos {}^{ - 1} (x) = \frac{\pi}{2}$
• Hence the required answer. I hope it will help you. Thank you