Question

If the angles are represented in degrees, find both angles: cos(8x+18)=sin(−2x+36)

Answer 1

Answer:

24 and 66degrees

Step-by-step explanation:

Given the equation

cos(8x+18)=sin(−2x+36)

In trigonometry identity, cos theta = sin (90- theta)

The given expression becomes;

sin (90 - (8x+18)) = sin(−2x+36)

sin will cancel out to have;

90 - (8x+18) = (−2x+36)

90-8x-18 = -2x+36

-8x +72 = -2x+36

-8x + 2x = 36 - 72

-6x = -36

x = 36/6

x = 6

Hence the value of x is 6

cos(8x+18) = cos(8(6)+18)

= cos  66

Also

sin(−2x+36)

= sin(−2(6)+36)

= sin(−12+36)

= sin 24

Hence both angles are 24 and 66degrees