Question

given that sinα = √3/ 2 and cosβ = 1 /2 then the value of (α + β)is: (a) 90o (b) 30o (c) 60o (d) 120o​

Answer 1

Answer:

$\alpha + \beta = 60 + 30 = 90 \: \: \: degrees.$

OPTION A IS CORRECT

Step-by-step explanation:

$\sin( \alpha ) = \frac{ \sqrt{3} }{2} \\ \\ \\ \alpha = 60 \\ \\ \\ \\ \cos( \beta ) = \frac{1}{2} \\ \\ \beta = 30 \\ \\ \\ \\ then \: \: \: \alpha + \beta = 60 + 30 = 90 \: \: \: degrees.$