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In ∆ABC, if sin A = 4/5 and tan A = 4/3, then what is cos A?

User Rickie
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2 Answers

6 votes

Answer:

the answer is 3/5 lol hope this helps

Explanation:

User Romulo Freires
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8.5k points
4 votes

In triangle ABC, if
\sin \angle A>0 and
\tan\angle A>0, then
\cos \angle A>0.

Use trigonometric formula


\tan \alpha =(\sin \alpha)/(\cos \alpha)

to find
\cos \angle A:


\cos \angle A=(\sin \alpha)/(\tan \alpha)=((4)/(5))/((4)/(3))=(3)/(5).

Answer:
\cos \angle A=(3)/(5).

User Roselia
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9.1k points