Question

Suppose zero is an angle in the standard position who’s terminal side is in quadrant IV and cot zero equals -2/17. Find the exact values of the five remaining trigonometric functions of zero

Answer 1

SOLUTIONS

Find the exact values of the five remaining trigonometric functions of zero:

`cot\theta=-(2)/(17)`

Suppose theta is an angle in the standard position

Cot = adj/opp

`\begin{gathered} adj=17 \\ opp=-2 \end{gathered}`

Pythagoras theorem

`\begin{gathered} hyp^2=opp^2+adj^2 \\ x^2=(-2)^2+17^2 \\ x^2=4+289 \\ x^2=293 \\ x=√(293) \end{gathered}`

Hypotenuse = sqrt293

Opposite = -2

Adjacent = 17

`\begin{gathered} sin\theta=-(2)/(√(293)),cos\theta=(17)/(√(293)),cosec\theta=-(√(293))/(2) \\ sec\theta=(√(293))/(17),tan\theta=-(17)/(2) \end{gathered}`

correct answer = Option A