Evaluate:

a) tan(cos^-1(1/3)

b) Solve the pair of equations cosx=-1/2 and tanx=root3 for 0<-x<-2pi

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- Oct 2nd 2007, 06:23 PMredpanda11Trig Crazy
Evaluate:

a) tan(cos^-1(1/3)

b) Solve the pair of equations cosx=-1/2 and tanx=root3 for 0<-x<-2pi - Oct 2nd 2007, 07:11 PMSoroban
Hello, redpanda11!

Quote:

a) Evaluate: .

*angle.*

Let:

is in a right triangle with:

Using Pythagorus, we find that: .

Then: .

Therefore, we have: .

Quote:

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: .

- Oct 2nd 2007, 10:23 PMDivideBy0
Ooh multiplying equations... never thought of it, but it does make sense :)