Trig

how do i find the exact value of s
[pie/2, pie]
sin s = radical2/ whole number 2

what is s in radians?

how do i figure this out without the use of a calculator. I drew the graph and located it in the second quadrant and i think the triangle is a 45-45-90 but i don't how to find the radians for the sin of s.

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  1. start with this equation:

    π radians = 180°
    now divide this by simple whole numbers
    e.g.
    divide by 2 ---> π/2 = 90°
    divide by 3 ---> π/3 = 60°
    divide by 4 ---> π/4 = 45°
    divide by 5 ---> π/5 = 36
    divide by 6 ---> π/6 = 30°
    divide by 8 ---> π/8 = 22.5°
    etc.
    copy this chart into a handy place in your notebook.

    you know that the sine is positive in the first and 2nd quadrant.
    Since s of sin s in in the second quadrant,
    s = π - π/4 = 3π/4 , (180-45 = 135°)

    check:
    sin 3π/4 = .707106781... = √2/2

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