SOLUTION: Find the exact value of sine x when tan x = -1 over 2 times the square root of 2.
The co-sine of x is less than 0.
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The co-sine of x is less than 0.
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Question 518722: Find the exact value of sine x when tan x = -1 over 2 times the square root of 2.
The co-sine of x is less than 0. Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Find the exact value of sine x when tan x = -1 over 2 times the square root of 2.
The co-sine of x is less than 0
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tanx=-1/(2√2)
This means you are working with a right triangle in quadrant II where tan and cos are<0.
Also, opposite side=-1 and adjacent side=2√2
By Pythagorean Theorem, the hypotenuse will calculate=3
sinx=opposite side/hypotenuse=-1/3