Solve the equation sin (x° - 20°) = cos 42° for x, where 0 < x < 90. a. 62 b. 22 c. 68 d. 28

Answer

Find out the value of x.

To prove

As given

sin (x - 20°) = cos 42°

Now using the property .

cos y =  sin (90 - y )

Thus

sin (x - 20°) = sin (90° - 42°)

x - 20° = 48°

x = 48° + 20°

x = 68°

Therefore the value of x is 68° .

Option (D) is correct.

dont think so

step-by-step explanation:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18