Reciprocal Trig Ratios

The reciprocal of sine is

• cosine or cos

• secant or sec

• cosecant or csc

• arcsin or $\sin^{-1}$

The reciprocal of cosine is

• sine or sin

• secant or sec

• cosecant or csc

• arccos or $\cos^{-1}$

Tags

CCSS.HSF.TF.B.6

The reciprocal of tangent is

• secant or sec

• cosecant or csc

• cotangent or cot

• arctan or $\tan^{-1}$

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

If  $\cos60\degree\ =\ \frac{1}{2}$  , then  $\sec60\degree$  =

•  $\frac{1}{2}$  

•  $2$  

•  $-\frac{1}{2}$  

•  $-2$  

If  $\sin\theta=\frac{4}{5}$  , then  $\csc\theta=$  

•  $\frac{4}{5}$  

•  $-\frac{4}{5}$  

•  $-\frac{5}{4}$  

•  $\frac{5}{4}$  

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

If  $\tan\theta=\frac{12}{5}$  , then  $\cot\theta=$  

•  $-\frac{12}{5}$  

•  $\frac{12}{5}$  

•  $\frac{5}{12}$  

•  $-\frac{5}{12}$  

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

If  $\sin\theta=\frac{1}{\sqrt{2}}$  , then  $\csc\theta=$  

•  $\sqrt{2}$  

•  $\frac{1}{\sqrt{2}}$  

•  $-\sqrt{2}$  

•  $-\frac{1}{\sqrt{2}}$  

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

If  $\cos\theta=-\frac{2}{\sqrt{3}}$  , then  $\sec\theta=$  

•  $\frac{2}{\sqrt{3}}$  

•  $\frac{\sqrt{3}}{2}$  

•  $-\frac{2}{\sqrt{3}}$  

•  $-\frac{\sqrt{3}}{2}$  

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.8

If  $\sin\theta=\frac{\sqrt{2}}{2}$  , then  $\csc\theta=$  

•  $\frac{\sqrt{2}}{2}$  

•  $\frac{2}{\sqrt{2}}\ which\ is\ \sqrt{2}$  

•  $-\frac{2}{\sqrt{2}}\ which\ is\ -\sqrt{2}$  

•  $-\frac{\sqrt{2}}{2}$  

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

If  $\sin0\degree=0$  , then  $\csc0\degree=$  

• 0

• 1

•  $\frac{1}{0}$  which is undefined

• "eleventeen"