SOLUTION: Hi i need help on the question:
Given theta, phi [0,pi/2], tan(theta)=1/2, and tan(phi)= 3/4, find the exact value of tan(phi - theta).
I'm not sure if you're supposed to p
Algebra.Com
Question 437998: Hi i need help on the question:
Given theta, phi [0,pi/2], tan(theta)=1/2, and tan(phi)= 3/4, find the exact value of tan(phi - theta).
I'm not sure if you're supposed to plug into an equation? or just simply solve the problem.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Use the formula for the tangent of the difference:
\ =\ \frac{\tan(A)\ -\ \tan(B)}{1\ +\ \tan(A)\tan(B)})
Just plug in the given values:
\ =\ \frac{\frac{3}{4}\ -\ \frac{1}{2}}{1\ +\ \frac{3}{4}\,\cdot\,\frac{1}{2}})
and do the arithmetic.
John
My calculator said it, I believe it, that settles it
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