csc ⁡ θ \csc\theta csc θ

1 sin ⁡ θ \frac{1}{\sin\theta} sin θ 1

1 cos ⁡ θ \frac{1}{\cos\theta} cos θ 1

1 tan ⁡ θ \frac{1}{\tan\theta} tan θ 1

1 cot ⁡ θ \frac{1}{\cot\theta} cot θ 1

sec ⁡ θ \sec\theta sec θ

1 cos ⁡ θ \frac{1}{\cos\theta} cos θ 1

1 sin ⁡ θ \frac{1}{\sin\theta} sin θ 1

1 tan ⁡ θ \frac{1}{\tan\theta} tan θ 1

1 cot ⁡ θ \frac{1}{\cot\theta} cot θ 1

tan ⁡ θ \tan\theta tan θ

1 cot ⁡ θ \frac{1}{\cot\theta} cot θ 1

1 sin ⁡ θ \frac{1}{\sin\theta} sin θ 1

1 cos ⁡ θ \frac{1}{\cos\theta} cos θ 1

1 tan ⁡ θ \frac{1}{\tan\theta} tan θ 1

cot ⁡ θ \cot\theta cot θ

1 tan ⁡ θ \frac{1}{\tan\theta} tan θ 1

1 sin ⁡ θ \frac{1}{\sin\theta} sin θ 1

1 cos ⁡ θ \frac{1}{\cos\theta} cos θ 1

1 cot ⁡ θ \frac{1}{\cot\theta} cot θ 1

sin ⁡ θ \sin\theta sin θ

1 csc ⁡ θ \frac{1}{\csc\theta} csc θ 1

1 sec ⁡ θ \frac{1}{\sec\theta} sec θ 1

sin ⁡ ( 90 − θ ) = \sin\left(90-\theta\right)\ =\ sin ( 9 0 − θ ) =

− cos ⁡ θ -\cos\theta − cos θ

cos ⁡ θ sin ⁡ θ \frac{\cos\theta}{\sin\theta} sin θ cos θ

1 cos ⁡ θ \frac{1}{\cos\theta} cos θ 1

cos ⁡ θ \cos\theta cos θ

1 sec ⁡ θ \frac{1}{\sec\theta} sec θ 1

1 csc ⁡ θ \frac{1}{\csc\theta} csc θ 1

1 tan ⁡ θ \frac{1}{\tan\theta} tan θ 1

tan ⁡ θ \tan\theta tan θ

sin ⁡ θ cos ⁡ θ \frac{\sin\theta}{\cos\theta} cos θ sin θ

cos ⁡ θ sin ⁡ θ \frac{\cos\theta}{\sin\theta} sin θ cos θ

1 csc ⁡ θ \frac{1}{\csc\theta} csc θ 1

sin ⁡ ( π 2 − θ ) = \sin\left(\frac{\pi}{2}-\theta\right)\ =\ sin ( 2 π − θ ) =

cos ⁡ ( π 2 ) \cos\left(\frac{\pi}{2}\right) cos ( 2 π )

1 sec ⁡ θ \frac{1}{\sec\theta} sec θ 1

1 sec ⁡ ( π 2 − θ ) \frac{1}{\sec\left(\frac{\pi}{2}-\theta\right)} sec ( 2 π − θ ) 1

sin ⁡ ( π 2 ) \sin\left(\frac{\pi}{2}\right) sin ( 2 π )

cot ⁡ θ \cot\theta cot θ

cos ⁡ θ sin ⁡ θ \frac{\cos\theta}{\sin\theta} sin θ cos θ

1 ( cos ⁡ θ sin ⁡ θ ) \frac{1}{\left(\frac{\cos\theta}{\sin\theta}\right)} ( sin θ cos θ ) 1

sin ⁡ θ cos ⁡ θ \frac{\sin\theta}{\cos\theta} cos θ sin θ

cos ⁡ ( 90 − θ ) = \cos\left(90-\theta\right)\ =\ cos ( 9 0 − θ ) =

− cos ⁡ θ -\cos\theta − cos θ

sin ⁡ ( 90 − θ ) \sin\left(90-\theta\right) sin ( 9 0 − θ )

− sin ⁡ θ -\ \sin\theta − sin θ

tan ⁡ θ \tan\theta tan θ

cot ⁡ ( 90 − θ ) \cot\left(90-\theta\right) cot ( 9 0 − θ )

− cot ⁡ θ -\cot\theta − cot θ

sin ⁡ ( 90 − θ ) \sin\left(90-\theta\right) sin ( 9 0 − θ )

cos ⁡ θ sin ⁡ θ \frac{\cos\theta}{\sin\theta} sin θ cos θ

Reciprocal, Quotient, and Cofunction Identities

Authored by Kimberly Haughee

Mathematics

9th - 12th Grade

CCSS covered

Used 42+ times

Reciprocal, Quotient, and Cofunction Identities

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12 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\csc\theta$

$\frac{1}{\sin\theta}$

$\frac{1}{\cos\theta}$

$\frac{1}{\tan\theta}$

$\frac{1}{\cot\theta}$

Tags

CCSS.HSF.TF.A.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\sec\theta$

$\frac{1}{\sin\theta}$

$\frac{1}{\cos\theta}$

$\frac{1}{\tan\theta}$

$\frac{1}{\cot\theta}$

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\tan\theta$

$\frac{1}{\sin\theta}$

$\frac{1}{\cos\theta}$

$\frac{1}{\tan\theta}$

$\frac{1}{\cot\theta}$

Tags

CCSS.HSF.TF.A.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\cot\theta$

$\frac{1}{\sin\theta}$

$\frac{1}{\cos\theta}$

$\frac{1}{\tan\theta}$

$\frac{1}{\cot\theta}$

Tags

CCSS.HSF.TF.A.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\sin\theta$

$\frac{1}{\csc\theta}$

$\frac{1}{\sec\theta}$

$\csc\theta$

$\cot\theta$

Tags

CCSS.HSF.TF.A.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\sin\left(90-\theta\right)\ =\$

$-\cos\theta$

$\frac{\cos\theta}{\sin\theta}$

$\frac{1}{\cos\theta}$

$\cos\theta$

Tags

CCSS.HSF.TF.C.9

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\cos\theta$

$\frac{1}{\csc\theta}$

$\frac{1}{\sec\theta}$

$\sec\theta$

$\frac{1}{\tan\theta}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\tan\theta$

$\frac{\sin\theta}{\cos\theta}$

$\frac{\cos\theta}{\sin\theta}$

$\sec\theta$

$\frac{1}{\csc\theta}$

Tags

CCSS.HSF.TF.A.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\sin\left(\frac{\pi}{2}-\theta\right)\ =\$

$\cos\left(\frac{\pi}{2}\right)$

$\frac{1}{\sec\theta}$

$\frac{1}{\sec\left(\frac{\pi}{2}-\theta\right)}$

$\sin\left(\frac{\pi}{2}\right)$

Tags

CCSS.HSF.TF.C.9

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\cot\theta$

$\frac{1}{\left(\frac{\cos\theta}{\sin\theta}\right)}$

$\frac{\cos\theta}{\sin\theta}$

$\tan\theta$

$\frac{\sin\theta}{\cos\theta}$

Tags

CCSS.HSF.TF.A.2

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Reciprocal, Quotient, and Cofunction Identities

csc⁡θ\csc\thetacscθ

sec⁡θ\sec\thetasecθ

tan⁡θ\tan\thetatanθ

cot⁡θ\cot\thetacotθ

sin⁡θ\sin\thetasinθ

sin⁡(90−θ) = \sin\left(90-\theta\right)\ =\ sin(90−θ) =

cos⁡θ\cos\thetacosθ

tan⁡θ\tan\thetatanθ

sin⁡(π2−θ) = \sin\left(\frac{\pi}{2}-\theta\right)\ =\ sin(2π​−θ) =

cot⁡θ\cot\thetacotθ

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$\csc\theta$

$\sec\theta$

$\tan\theta$

$\cot\theta$

$\sin\theta$

$\sin\left(90-\theta\right)\ =\$

$\cos\theta$

$\tan\theta$

$\sin\left(\frac{\pi}{2}-\theta\right)\ =\$

$\cot\theta$