Solve sin x = cos x on the closed interval [pi, 3pi/2].
1 answer:
Answer: x=5π/4
Step-by-step explanation:
sin x = cos x
sin^2 x=cos^2 x
sin^2 x+sin^2 x=cos^2 x+sin^2x
2 sin^2 x=1
sin^2 x=1/2
sin x=(1/2)^1/2
sin x=
x=45 degrees, 225 degrees
x=180/4, 5(180)/4
x=π/4, 5π/4 ==> π<=x<=3π/2
x=5π/4
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