csat-suneung 2023 Q5

csat-suneung · South-Korea · csat__math 3 marks Reciprocal Trig & Identities
If $\tan \theta < 0$ and $\cos \left( \frac { \pi } { 2 } + \theta \right) = \frac { \sqrt { 5 } } { 5 }$, what is the value of $\cos \theta$? [3 points]
(1) $- \frac { 2 \sqrt { 5 } } { 5 }$
(2) $- \frac { \sqrt { 5 } } { 5 }$
(3) 0
(4) $\frac { \sqrt { 5 } } { 5 }$
(5) $\frac { 2 \sqrt { 5 } } { 5 }$
If $\tan \theta < 0$ and $\cos \left( \frac { \pi } { 2 } + \theta \right) = \frac { \sqrt { 5 } } { 5 }$, what is the value of $\cos \theta$? [3 points]\\
(1) $- \frac { 2 \sqrt { 5 } } { 5 }$\\
(2) $- \frac { \sqrt { 5 } } { 5 }$\\
(3) 0\\
(4) $\frac { \sqrt { 5 } } { 5 }$\\
(5) $\frac { 2 \sqrt { 5 } } { 5 }$