Question

Select the correct option from the given alternatives:

If secθ = m and tanθ = n, then `1/"m"{("m + n") + 1/(("m + n"))}` is equal to

Options

• 2

• mn

• 2m

• 2n

Answer 1

2

Explanation:

`1/"m"[("m + n") + 1/(("m + n"))]`

= `1/sectheta [(sectheta + tantheta) + 1/((sectheta + tantheta))]`

= `1/sectheta(sectheta + tantheta + (sectheta - tantheta)/(sec^2theta - tan^2theta))`

= `1/sectheta(sectheta + tantheta + (sectheta - tantheta)/1)`

= `1/sectheta(2sectheta)`

= 2