SOLUTION: theta is a acute angle and sin theta and cos theta are given. use identities to find the indicated value. sin theta =5/7, cos theta =2 sqrt 6 /7. Find tan theta

Algebra ->  Trigonometry-basics -> SOLUTION: theta is a acute angle and sin theta and cos theta are given. use identities to find the indicated value. sin theta =5/7, cos theta =2 sqrt 6 /7. Find tan theta      Log On


   



Question 1088897: theta is a acute angle and sin theta and cos theta are given. use identities to find the indicated value.
sin theta =5/7, cos theta =2 sqrt 6 /7. Find tan theta

Found 2 solutions by Alan3354, Boreal:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
tan = sin/cos

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
tangent x is sin x/cos x, here (5/7)/2 sqrt(6)/7; the 7 s in the denominator cancel each other.
5/2 sqrt (6); rationalize by multiplying numerator and denominator by sqrt (6)
5 sqrt (6)/12. ANSWER
numerically, it is 0.714/.7 or about 1.02.
5 sqrt (6)/12=1.02