Evaluate:
a) tan(cos^-1(1/3)
b) Solve the pair of equations cosx=-1/2 and tanx=root3 for 0<-x<-2pi
Hello, redpanda11!
Recall that an inverse trig function is an angle.a) Evaluate: .
Let:
is in a right triangle with:
Using Pythagorus, we find that: .
Then: .
Therefore, we have: .
b) Solve the pair of equations: and . for
Cosine is negative in Quadrants 2 and 3.
Tangent is positive in Quadrants 1 and 3.
. . Hence, is in Quadrant 3.
Multiply the two equations: .
Then we have: .
Therefore: .