Question

HELP!
sin x cos x = 1/2
all solutions [0, 2pi]

Answer 1

sin x = 1/2
cos x = 1/2

x = pi/6, 5pi/6 (sin)
x = pi/3 , 5pi/3 (cos)

Answer 2

My answer sheet says pi/4, 5pi/4 any formula i can put it in to get that?

Answer 3

oh okay okay sorry

Answer 4

so when you have a unit circle, you can see that at pi/4, its going to be (rad(2)/2 , rad(2)/2)

Answer 5

got that part? and when you multiply them, you get 1/2

Answer 6

but, there is another answer. When you multiply the negatives together, you get positive.

Answer 7

so since at quadrant 3, 5pi/4 is (-rad(2)/2, -rad(2)/2), you still are going to get 1/2.

Answer 8

so that's why the answer is pi/4 and 5pi/4.

Answer 9

thank you! much appreciated

Answer 10

no problem :)