Tuesday
June 18, 2013

# Homework Help: trig

Posted by Anonymous on Monday, March 19, 2012 at 4:12pm.

if sin theta equals 3/7, what is tan theta?

• trig - Henry, Tuesday, March 20, 2012 at 4:44pm

sinA = 3/7 = Y/r.

x^2 + y^2 = r^2
x^2 + 3^2 = 7^2.
x^2 = 7^2 - 3^2 = 40.
X = sqrt(4*10) = 2*sqrt10.

tanA=Y/X = 3 / 2*sqrt10 = 3*sqrt10/20.

NOTE: The radical was removed from the
denominator by multiplying numerator and denominator by sqrt10.

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