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Determine the Signs of the Given Trigonometric Functions of an Angle

Question 43

Multiple Choice

Determine the signs of the given trigonometric functions of an angle in standard position with the given measure.
-Find cos⁡θ\cos \theta , given that tan⁡θ=−89\tan \theta = - \frac { 8 } { 9 } and sin⁡θ>0\sin \theta > 0 .


A) −1459- \frac { \sqrt { 145 } } { 9 }
B) 9145145\frac { 9 \sqrt { 145 } } { 145 }
C) 1458\frac { \sqrt { 145 } } { 8 }
D) −9145145- \frac { 9 \sqrt { 145 } } { 145 }

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