Question
Given Tangent theta = -5 on 4 and cos theta >0, find sine theta and sec theta
Answers
Reiny
not familiar with the expession "-5 on 4"
do you mean -5/4 ?
if tanØ = -5/4 and cosØ >0
then we know Ø is in quadrant IV
by Pythagoras, the hypotenuse of the standard triangle is √41
sinØ = -5/√41
sec Ø = √41/4
do you mean -5/4 ?
if tanØ = -5/4 and cosØ >0
then we know Ø is in quadrant IV
by Pythagoras, the hypotenuse of the standard triangle is √41
sinØ = -5/√41
sec Ø = √41/4