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rewrite \\(\\cos 80^{\\circ}\\) in terms of its cofunction.\\(\\cos 80^…

Question

rewrite \\(\cos 80^{\circ}\\) in terms of its cofunction.\\(\cos 80^{\circ} = \square\\) (type an exact answer. simplify your answer. type any angle measures in degrees. do not include the degree symbol in your answer.)

Explanation:

Step1: Recall cofunction identity

The cofunction identity for cosine is $\cos\theta = \sin(90^\circ - \theta)$.

Step2: Substitute $\theta=80^\circ$

$\cos80^\circ = \sin(90^\circ - 80^\circ)$

Step3: Calculate the angle

$90 - 80 = 10$

Answer:

$\sin 10$