Question

given that din x°=sin 27°,where 0°< x <180°,write down the possible values of x
​

Answer 1

Answer:

27°, 153°

Step-by-step explanation:

$\sin(180 - \alpha ) = \sin( \alpha )$

Answer 2

Answer:

First, calculator gives

x

=

44.42

d

e

g

.

The trig unit circle gives another arc

x

=

180

−

44.42

=

135

.

58

d

e

g

, that has the same

sin

value

(

0.7

)

. Within the interval

(

−

180

,

+

180

)

, there are 2 answers:

x

1

=

44.42

d

e

g

x

2

=

135.58

d

e

g