2 years ago

X +0.25 0.75, x=0, 0.5, 1

Mathematics

1 answer:

dem82 [27]2 years ago

7 0

Answer:

hello good evening

be happy always

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Angle 0 is in the second quadrant, and sin 0=3/5

Aneli [31]

ANSWER

The value of theta in the second quadrant is,

$143.1 \degree$

EXPLANATION

The given trigonometric equation is
$\sin( \theta) = \frac{3}{5}$

This implies that,

$\theta= arcsin(\frac{3}{5} )$

This implies that the principal solution is
$\theta = 36.9 \degree$
and it is an angle in the first quadrant.

But the solution we are looking for is an angle in the second quadrant.

This is given by
$180 - \theta = 180 - 36.9 = 143.1 \degree$

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