Question

Hello I Really need this answered

Answer 1

α = 143.13⁰

Explanation:

Given;

`Sin \ \alpha = (3)/(5) \ \ , (\pi)/(2) <\alpha < \pi`

α is determined as follows;

⇒find the arcsine of ³/₅

`\alpha = sin^(-1)((3)/(5) )\\\\\alpha = sin^(-1)(0.6)\\\\\alpha = 36.87 ^0 = 180^0 - 36.87^0 = 143.13^0`

`Thus, (\pi)/(2) < 143.13^0 <\pi`

Therefore, the value of α that satisfies the given range value is 143.13⁰