Reciprocal Trig Functions and Applying Trig Functions

Write all six trig ratios.

•  $\sin\theta=\frac{24}{25}\ \cos\theta=\frac{7}{25}\ \tan\theta=\frac{24}{7}\$   $\csc\theta=\frac{25}{24}\ \sec\theta=\frac{25}{7}\ \cot\theta=\frac{7}{24}$  

•   $\sin\theta=\frac{7}{25}\ \cos\theta=\frac{24}{25}\ \tan\theta=\frac{7}{24}$   $\csc\theta=\frac{25}{7}\ \sec\theta=\frac{25}{24}\ \cot\theta=\frac{24}{7}$  

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the remaining trig ratios if  $\sin\theta=\frac{2}{3}$  

•  $\cos\theta=\frac{5}{7}\ \tan\theta=\frac{2}{5}$   $\csc\theta=\frac{3}{2}\ \sec\theta=\frac{7}{5}\ \cot\theta=\frac{5}{2}$  

•  $\cos\theta=\frac{2\sqrt{5}}{5}\ \tan\theta=\frac{2}{3}$   $\csc\theta=\frac{3}{2}\ \sec\theta=\frac{\sqrt{5}}{2}\ \cot\theta=\frac{3}{2}$  

•  $\cos\theta=\frac{\sqrt{5}}{2}\ \tan\theta=\frac{2\sqrt{5}}{5}\csc\theta=\frac{3}{2}\ \sec\theta=\frac{2\sqrt{5}}{5}\cot\theta=\frac{5\sqrt{5}}{2}$  

•  $\cos\theta=\frac{\sqrt{5}}{3}\ \tan\theta=\frac{2\sqrt{5}}{5}\csc\theta=\frac{3}{2}\ \sec\theta=\frac{3\sqrt{5}}{5}\cot\theta=\frac{\sqrt{5}}{2}$  

Find the missing side. Round answers to the nearest tenth.

• 39.4

• 12.2

• 4

• 29.1

Find the missing side. Round answers to the nearest tenth.

• 2.6

• 6.7

• 13.7

• 5.4

Find the missing angle. Round answers to the nearest whole degree.

•  $50\degree$  

•  $40\degree$  

•  $1\degree$  

•  $33\degree$  

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the missing angle. Round answers to the nearest whole degree.

• $64\degree$

• $35\degree$

• $51\degree$

• $63\degree$

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

What is the reciprocal function to sin?

• sec

• cos

• csc

• cot

What is the reciprocal function of sec?

• csc

• cos

• sin

• tan

Tags

CCSS.HSF.BF.B.4

What is the reciprocal function of tan?

• csc

• cos

• sec

• cot

If $\sec\theta=\frac{29}{20}$ , then what is the hypotenuse? 

• 24

• 21

• 20

• 29