if cos theta=3/5 find the value of 5 sin theta-3 tan theta
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Answer:
Cos theta = Adjacent side/Hypotenuse.
Draw a triangle with the given measures(see attachment)
By pythagoras theorem, opposite side² = 5² - 3² = 16
opposite side = √16 = 4
sin theta = opp. /hypotenuse = 4/5
tan theta = sin theta/cos theta = 4/3
0
5sin theta - 3tan theta = 5(4/5) - 3(4/3)
= 4 - 4
= 0
Attachments:
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