Question

if sin 3x equals to 1 and 0 degree less than 3 X less than 90 degree find the value of sin x​

Answer 1

Step-by-step explanation:

sin5x+sin3x+sinx=0

(sin5x+sinx)+sin3x=0

sinC+sinD=2sin

2

C+D

cos

2

C−D

2sin3x⋅cos2x+sin3x=0

sin3x(2cos2x+1)=0

sin3x=sin0 or 2cos2x+1=0

3x=nπ cos2x=cos2π

/3

x=

3

nπ

2x=2π

/3

+2nπ

0≤x≤π

/2

x=π

/3

±nπ.

x=nπ

/3

gives, x=0,π

/3

Answer 2

Step-by-step explanation:

sin 3x = 1

Sin 3x = Sin 90°

3x=90°

x=30°

than put the value of x in Sin x, we have

Sin 30°

=1/2