Question

Solve for the equation in the given domain.

(tan theta)(sec theta)=tan theta

theta E{real numbers of degrees}



BY THE WAY, REMIND ME IF THIS IS THE CORRECT WAY TO FIND THE ANGLE OF...

sec theta=2

To find the angle do you set it up like this??

1/(cos^-1)(2)

Answer 1

tanØ secØ = tanØ
tanØ secØ - tanØ = 0
tanØ(secØ - 1) = 0
tanØ = 0 or secØ = 1

if tanØ = 0
Ø = 0, 180°, 360° ... , 180k° , where k is an integer

if secØ - 1
then cosØ = 1
Ø = 0, 180, 360 ... , 180k° where k is an integer

so Ø = 180k° , k an integer.

to find Ø in secØ = 2
I would first change it to cosine, since your calculator has inverses only for sine, cosine and tangent

if secØ = 2
then cosØ = 1/2
now you can do
cos^-1 (1/2) = 60°