θ Is an Acute Angle and Sin θ and Cos $\sin \theta = - \frac { \sqrt { 5 } } { 3 } , \cos \theta = \frac { 2 } { 3 }$

question 157

Multiple Choice

θ is an acute angle and sin θ and cos θ are given. Use identities to find the indicated value.
- $\sin \theta = - \frac { \sqrt { 5 } } { 3 } , \cos \theta = \frac { 2 } { 3 }$ . Find $\cot \theta$

• A) \(\frac { - 2 \sqrt { 5 } } { 5 }\)
• B) \(\frac { - 3 \sqrt { 5 } } { 5 }\)
• C) \(\frac { 3 } { 2 }\)
• D) \(\frac { \sqrt { 5 } } { 2 }\) θ is an acute angle and sin θ is given. Use the Pythagorean identity sin2 θ + cos2 θ = 1 to find cos θ.

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