Sin(150+x)+sin(150-x)= cosx
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Solve for x:
sin(150-x)+sin(x+150) = cos(x)
Subtract cos(x) from both sides:
-cos(x)+sin(150-x)+sin(x+150) = 0
Simplify trigonometric functions:
(-1+sin(150) 2) cos(x) = 0
Divide both sides by -1+2 sin(150):
cos(x) = 0
Take the inverse cosine of both sides:
Answer: |
| x = pi/2+pi*n for n element Z
in the first quadrant, x= pi/2 radians = 90 degrees
sin(150-x)+sin(x+150) = cos(x)
Subtract cos(x) from both sides:
-cos(x)+sin(150-x)+sin(x+150) = 0
Simplify trigonometric functions:
(-1+sin(150) 2) cos(x) = 0
Divide both sides by -1+2 sin(150):
cos(x) = 0
Take the inverse cosine of both sides:
Answer: |
| x = pi/2+pi*n for n element Z
in the first quadrant, x= pi/2 radians = 90 degrees
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