1 Answer

Victor Pira · Answer 1 · 2020-08-03T02:16:21+0000

Answer:

$\theta=337.2^o$

Explanation:

we have

$csc(2\theta+60^o)=4$

Let

$x=(2\theta+60^o)$ ----> equation A

so

csc(x)=4

using a calculator

x=csc^(-1)(4)

x=14.5^o

substitute the value of x in the equation A

$(2\theta+60^o)=14.48^o$

Solve for angle theta

$2\theta=14.48^o-60^o$

$2\theta=-45.52^o$

$\theta=-22.76^o$

The negative sign means that the angle theta lie on the IV quadrant

so

$\theta=360^o-22.76^o=337.24^o$

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