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How do I find the value of the trig function? Number 1

How do I find the value of the trig function? Number 1-example-1
User Kevork
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From the trigonometric identities, we know that


\sec \theta=(1)/(\cos \theta)

From the given triangle, we can see that


\cos \theta=(15)/(17)

then,


\sec \theta=(1)/((15)/(17))

so, the answer is


\sec \theta=(17)/(15)

User Lunohodov
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