This Question 1 pt 38 of 89 69 complete Solve the equation o

This Question: 1 pt 38 of 89 (69 complete) Solve the equation on the interval 0 s

given 4sin +5 =7

4sin = 7-5

4sin =2

now divide both sides with 4

then we get

4sin/4 =2/4

sin =1/2

=arcsin(1/2)

then the value is = /6

now we get = /6

the sin function is positive in first and second quadrants.

To find the second solution subtract /6 from to find solution in second quadrant

= -/6

we can take 6 as l.c.m

= 6 -/6

=5/6

The solutions for the given equation 4sin +5 =7 are /6 ,5/6 (30⁰ ,150⁰)

/6 =0.523 radians , 5/6 =2.617 radians