SOLUTION: What is the exact value of tan(cos^-1(-4/7)) ?

Algebra.Com
Question 387952: What is the exact value of tan(cos^-1(-4/7)) ?
Found 2 solutions by robertb, user_dude2008:
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
Let . Then , and we have to find the value of . Now ---->, so that, by using the identity , we get , or .
Then . Tangent of is negative because means is in the 2nd quadrant.

Answer by user_dude2008(1862)   (Show Source): You can put this solution on YOUR website!

RELATED QUESTIONS

what is the exact value of sin, in degrees if tan <0 and cos=... (answered by Alan3354)
What is the exact value of cos(1/2*tan^-1(-5))? (answered by robertb)
Find the exact value of Sin(Tan-1 7/24) Cos-1(Cos 4Pi/3) (answered by jsmallt9)
find the exact value of: cos ( tan^-1 (4/3) + cos^-1 (12/13 )... (answered by lwsshak3)
Exact value of... (answered by lwsshak3)
the exact value of Tan (theta) if cos(theta)=5/7 and theta is in quadrant... (answered by lwsshak3)
What is the exact value of- cos^-1 (cos... (answered by lwsshak3)
Find the exact value of the expression. sin(cos^-1 2/3 - tan^-1... (answered by KMST)
find the exact value of... (answered by lwsshak3)