Find $\sin \theta$ And $\cos \theta$ , Where $\theta$ Is the (Acute) Angle of Rotation That Eliminates The

question 24

Multiple Choice

Find $\sin \theta$ and $\cos \theta$ , where $\theta$ is the (acute) angle of rotation that eliminates the $x ^ { \prime } y ^ { \prime }$ -term. Note: You are not asked to graph the equation. $124 x ^ { 2 } + 7 x y + 100 y ^ { 2 } = 0$

• A) \(\sin \theta = \frac { 7 \sqrt { 2 } } { 26 }\) \(\cos \theta = \frac { 17 \sqrt { 2 } } { 26 }\)
• B) \(\sin \theta = \frac { \sqrt { 2 } } { 10 }\) \(\cos \theta = \frac { 17 \sqrt { 2 } } { 26 }\)
• C) \(\sin \theta = \frac { \sqrt { 2 } } { 10 }\) \(\cos \theta = \frac { 7 \sqrt { 2 } } { 10 }\)
• D) \(\sin \theta = \frac { 17 \sqrt { 2 } } { 26 }\) \(\cos \theta = \frac { 7 \sqrt { 2 } } { 26 }\)
• E) \(\sin \theta = \frac { 7 \sqrt { 2 } } { 10 }\) \(\cos \theta = \frac { \sqrt { 2 } } { 10 }\)

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