Trig for Any Angle

If sinθ = -5/13 and tanθ > 0, then cosθ =

• 13/12

• -13/12

• 12/13

• -12/13

Tags

CCSS.HSF.TF.C.8

If tanθ = -¾ and cscθ > 0, then secθ =

• -4/5

• 5/4

• -5/4

• 4/5

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.8

Let (-4, 3) be a point on the terminal side of θ. Which of the following is FALSE?

• cot θ = -4/3

• tan θ = -3/4

• sin θ = 3/5

• cos θ = 4/5

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.8

Find cos(θ) given that the terminal side of θ contains the point  $\left(-9,\ 6\right)$ .

•  $-\frac{3\sqrt{13}}{13}$ 

•  $-\frac{\sqrt{13}}{3}$ 

•  $\frac{3}{2}$ 

•  $\frac{\sqrt{13}}{3}$ 

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.8

Find  $\tan\left(\theta\right)$  given that  $\sin\left(\theta\right)=-\frac{3}{5}$  and  $\cos\left(\theta\right)>0$ .  

•  $-\frac{3}{4}$  

•  $\frac{4}{5}$  

•  $\frac{4}{3}$  

•  $-\frac{5}{3}$  

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.8

Find  $\csc\left(\theta\right)$  given that  $\cos\left(\theta\right)=\frac{4\sqrt{17}}{17}$  and  $\sin\left(\theta\right)<0$ .  

•  $-\sqrt{17}$  

•  $-4$  

•  $\frac{1}{4}$  

•  $\frac{\sqrt{17}}{17}$  

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.8

Find  $\sin\left(\theta\right)$  given that  $\cot\left(\theta\right)=-\frac{\sqrt{2}}{5}$  and  $\cos\left(\theta\right)>0$ .  

•  $-\frac{5\sqrt{3}}{9}$  

•  $\frac{\sqrt{6}}{3}$  

•  $\frac{5\sqrt{2}}{2}$  

•  $-\frac{5}{9}$  

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.8

Find  $\cot\left(\theta\right)$  given that  $\cos\left(\theta\right)=-\frac{2}{3}$  and  $\csc\left(\theta\right)<0$ .  

•  $\frac{2}{\sqrt{5}}$  

•  $-\frac{\sqrt{5}}{2}$  

•  $\frac{\sqrt{5}}{3}$  

•  $-\frac{\sqrt{5}}{2}$  

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.8

Find  $\sin\left(\theta\right)$  given that  $\tan\left(\theta\right)=-4$  and  $\cos\left(\theta\right)<0$ .  

•  $\frac{4\sqrt{17}}{17}$  

•  $-\frac{\sqrt{17}}{17}$  

•  $\frac{\sqrt{17}}{4}$  

•  $-\sqrt{17}$  

Tags

CCSS.HSF.TF.B.7

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.8

Find  $\tan\left(\theta\right)$  given that  $\sec\left(\theta\right)=\frac{25}{24}$  and  $\sin\left(\theta\right)>0$ .  

•  $\frac{7}{24}$  

•  $-\frac{24}{7}$  

•  $\frac{7}{25}$  

•  $-\frac{25}{7}$  

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.8