Key to "If the tan ⁡ θ = − 4,..."

sondestiny120g

Answered question

2022-08-03

If the

\tan θ = - 4

, and

θ

is in quadrant II, find the following.

a) \sin θ = ? b) \cot θ = ? c) \csc θ = ?

Jazmin Cameron

Beginner2022-08-04Added 16 answers

Step 1

\tan (θ) = - 4

x = \sqrt{4^{2} + 1^{2}} = \sqrt{17}

(a) \sin (θ) = \frac{4}{\sqrt{17}} = \frac{4 \sqrt{17}}{17}

(b)

\cot (θ) = - \frac{1}{4}

(c)

\csc (θ) = \frac{\sqrt{17}}{4}

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