Use the given function value(s),and trigonometric identities (including the cofunction identities),to find the indicated trigonometric functions.? $\cos \theta = \frac { 1 } { 5 }$ ? sec ? and csc(90° - ?)
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A)? $\sec \theta = \frac { 1 } { 5 }$ and $\csc \left( 90 ^ { \circ } - \theta \right) = \frac { 1 } { 5 }$
B) $\sec \theta = 5$ and $\csc \left( 90 ^ { \circ } - \theta \right) = 5$
C)? $\sec \theta = \frac { 1 } { 5 }$ and $\csc \left( 90 ^ { \circ } - \theta \right) = 5$
D)? $\sec \theta = 5$ and $\csc \left( 90 ^ { \circ } - \theta \right) = \frac { 1 } { 5 }$
E)? $\sec \theta = - 5$ and $\csc \left( 90 ^ { \circ } - \theta \right) = - 5$

Question

Quizplus · Accepted Answer

$\sec \theta = \frac{1}{\cos \theta} = 5$ and $\csc(90° - \theta) = \frac{1}{\sin(90° - \theta)}$. Since $\sin(90° - \theta) = \cos \theta$, $\csc(90° - \theta) = \frac{1}{\cos \theta} = 5$.

Use the Given Function Value(s),and Trigonometric Identities (Including the Cofunction cos⁡θ=15\cos \theta = \frac { 1 } { 5 }cosθ=51​

Use the Given Function Value(s),and Trigonometric Identities (Including the Cofunction $\cos \theta = \frac { 1 } { 5 }$