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Find the Exact Value of the Expression Using the Provided cos⁡(s+t)\cos ( \mathrm { s } + \mathrm { t } )

Question 372

Multiple Choice

Find the exact value of the expression using the provided information.
-Find cos⁡(s+t) \cos ( \mathrm { s } + \mathrm { t } ) given that sin⁡s=−33\sin \mathrm { s } = - \frac { \sqrt { 3 } } { 3 } , with s\mathrm { s } in quadrant IV, and sin⁡t=−56\sin \mathrm { t } = - \frac { \sqrt { 5 } } { 6 } , with t\mathrm { t } in quadrant
IV.


A) 186+1518\frac { \sqrt { 186 } + \sqrt { 15 } } { 18 }

B) 186−1518\frac { \sqrt { 186 } - \sqrt { 15 } } { 18 }

C) 55+1518\frac { \sqrt { 55 } + \sqrt { 15 } } { 18 }

D) 55−1518\frac { \sqrt { 55 } - \sqrt { 15 } } { 18 }

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