Question

Solve the following equation.

Answer 1

For the domain \[0 \le x \le 2\pi \]Equation: \[\sin (x- \pi) = 1\]

Answer 2

x-pi represents the angle for which the sin of that angle is 1.

Where is the sin equal to 1?

Answer 3

@rach_ell

Answer 4

90 degrees?

Answer 5

Yes, that is written as pi/2 radians.

so we want that x - pi = pi/2

Answer 6

because when x - pi = pi/2, then sin(pi/2) = 1.

Answer 7

Ohh, so 3pi/2 would be the answer?

Answer 8

Yes. And it checks...put in 3pi/2 for x in the original equation.

Answer 9

sin (3pi/2 - pi) = 1
sin (pi/2) = 1
1 = 1

It checks.

Answer 10

Okay, thank you!

Answer 11

welcome.