Question

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

Answer 1

`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`