SOLUTION: find the exact value of this expression: sin(tan^-1(-1)+sin^-1(1/2))
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Question 979784: find the exact value of this expression: sin(tan^-1(-1)+sin^-1(1/2))
Answer by ikleyn(52813) (Show Source): You can put this solution on YOUR website!
Hello,
I read your writing sin(tan^-1(-1)+sin^-1(1/2)) as
.
Do I read correctly?
If my reading is correct, then the rest part is simple.
= = 30°,
= = -45°.
sin(30° - 45°) = sin(30°)*cos(45°) - cos(30°)*sin(45°) (subtraction formula for sines of Trigonometry, see the lesson Addition and subtraction formulas in this site)
= . - . = - = = = -0.259.
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