Question

Find the value of sec(theta°)cos(theta°) for the following values of theta.
b. theta = 225

Answer 1

sec(theta°)cos(theta°) = 1

Explanation:

given data

(theta°) = 225

to find out

sec(theta°)cos(theta°)

solution

as we know that given equation

(theta°) = 225

cos(theta°) will be

cos(225°) = -0.7071 .................................1

so we know

sec(theta°) =
`(1)/(cos(theta))` ..............2

so put here value of cos(theta°)

sec(theta°) =
`(1)/(-0.7071)`

sec(theta°) = - 1.4142

so

sec(theta°)cos(theta°) = -0.7071 × ( - 1.4142 )

sec(theta°)cos(theta°) = 1

so answer is sec(theta°)cos(theta°) = 1