Answer:
α = 143.13⁰
Step-by-step explanation:
Given;
[tex]Sin \ \alpha = \frac{3}{5} \ \ , \frac{\pi}{2} <\alpha < \pi[/tex]
α is determined as follows;
⇒find the arcsine of ³/₅
[tex]\alpha = sin^{-1}(\frac{3}{5} )\\\\\alpha = sin^{-1}(0.6)\\\\\alpha = 36.87 ^0 = 180^0 - 36.87^0 = 143.13^0[/tex]
[tex]Thus, \frac{\pi}{2} < 143.13^0 <\pi[/tex]
Therefore, the value of α that satisfies the given range value is 143.13⁰
