sec^2theta/(2tantheta) = ? Explain And Answer Question

1 Answer
May 2, 2018

1/2cscthetasectheta

Explanation:

"using the "color(blue)"trigonometric identities"

•color(white)(x)sectheta=1/costheta" and "tantheta=sintheta/costheta

•color(white)(x)csctheta=1/sintheta

rArr(1/(cos^2theta))/((2sintheta)/costheta)

=1/(cancel(costheta)costheta)xxcancel(costheta)/(2sintheta)

=1/(2sinthetacostheta)

=1/2xx1/sinthetaxx1/costheta=1/2cscthetasectheta