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Evangeline Madden
Mathematics
2 August, 04:36
If tan theta=3/4, find sin theta
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Kent
2 August, 05:00
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sin (theta) = 3/5
Step-by-step explanation:
tan (theta) = 3/4
sec^2 (theta) = 1+tan^2 (theta) = 1 + (3/4) ^2=1+9/16 = (16+9) / 16=25/16
sec (theta) = square root of (25/16) = 5/4
sec (theta) = 1/cos (theta) = 5/4
cos (theta) = 4/5
sin^2 (theta) = 1-cos^2 (theta) = 1-16/25 = (25-16) / 25=9/25
sin (theta) = 3/5
So
sec (theta) = 5/4
sin (theta) = 3/5
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