If θ is an angle in standard position and its terminal side passes through the point (-1,3), find the exact value of secθ in simplest radical form.

Answer 1

quadrant 2, sine is positive, so secant is negative

adjacent = -1 and opposite = 3

then hypotenuse = sqrt(10)

sine is 3/sqrt(10) = 3/10*sqrt(10)

cosine is -1/sqrt(10) = (-1/10) sqrt(10)

tangent is -3

cosecant is sqrt(10)/3

SECANT is -sqrt(10)

cotangent is -1/3