Suppose θ is an angle in the standard position whose terminal side is in quadrant iv and cotθ = -6/7 . find the exact values of the five remaining trigonometric functions of θ. find the exact values of the five remaining trigonometric functions of θ.

let's recall that on the IV Quadrant the sine/y is negative and the cosine/x is positive, whilst the hypotenuse is never negative since it's just a distance unit.

These are the five remaining trigonometric functions:

Explanation:

Quadrant IV corresponds to angle interval 270° < θ < 360.

In this quadrant the signs of the six trigonometric functions are:

The expected values of the five remaining trigonometric functions of θ are:

1) Tangent:

2) Secant

       sec θ = ± (√85)/ 6

       Choose positive, because secant is positive in Quadrant IV.

       sec θ = (√85) / 6

3) Cosine

4) Sine

       sin²θ = 1 - 36×85/(85)² = 1- 36/85 = 49/85

       sinθ = ± 7 / (√85) = ± 7(√85)/85

       Choose negative sign, because it is Quadrant IV.

       sinθ = - 7 (√85) / 85

5) Cosecant

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