csc ⁡ ( λ ) \csc\left(\lambda\right) csc ( λ )

sec ⁡ ( 90 ° − λ ) \sec\left(90\degree-\lambda\right) sec ( 9 0 ° − λ )

sin ⁡ ( 90 ° − λ ) \sin\left(90\degree-\lambda\right) sin ( 9 0 ° − λ )

cot ⁡ ( 90 ° − λ ) \cot\left(90\degree-\lambda\right) cot ( 9 0 ° − λ )

tan ⁡ ( β ) \tan\left(\beta\right) tan ( β )

cot ⁡ ( π 2 − β ) \cot\left(\frac{\pi}{2}-\beta\right) cot ( 2 π − β )

sec ⁡ ( π 2 − β ) \sec\left(\frac{\pi}{2}-\beta\right) sec ( 2 π − β )

sin ⁡ ( π 2 − β ) \sin\left(\frac{\pi}{2}-\beta\right) sin ( 2 π − β )

Basic Trig Identities Quiz: 20 Practice Questions

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Please select the correct solution
$\cos^2x\ +\ \sin\ ^2x\ =\$

1

csc²x + sec²x

sin²x

1 - sin²x

Tags

CCSS.HSF.TF.C.8

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the following for $\tan^2\theta$
$1\ +\ \tan^2\theta=\ \sec^2\theta$

tan²θ = sec²θ + 1

tan²θ = sec²θ - 1

tanθ = secθ - 1

tan²θ = opp/adj

Tags

CCSS.HSF.TF.C.8

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Rewrite tan(x) in terms of sin(x) and cos(x).

tan(x) = cos(x)/sin(x)

tan(x) = 1/cot(x)

tan(x) = sin(x)/cos(x)

tan(x) = opp/adj

Tags

CCSS.HSF.TF.C.8

CCSS.HSF.IF.C.8

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify:

$\tan\ x\ \cot x\ -\cos^2x$

tanx

cotx

sin²x

cos²x

Tags

CCSS.HSF.TF.C.8

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify this to a basic trigonometry function:
tan(x)csc(x)

tanx

secx

cotx

cscx

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Is this a pythagorean identity?
tan²x + 1 = secx

Yes

No

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.8

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify.
$\left(\csc\ \alpha\ -\ 1\right)\left(\csc\ \alpha+1\right)$

tan²x

sinx

cot²x

cosx

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

8.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify
$\cos\ x\left(\tan\ x\ +\ \cot\ x\right)$

sinx

cscx

Tanx+1

None of the above

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify
$\sin x\ \left(\csc x\ +\cot x\right)$

cos x + 1

csc x +1

cos x - 2

secx

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Basic Trig Identities

Please select the correct solution cos⁡2x + sin⁡ 2x = \cos^2x\ +\ \sin\ ^2x\ =\ cos2x + sin 2x =

Solve the following for tan⁡2θ\tan^2\thetatan2θ 1 + tan⁡2θ= sec⁡2θ1\ +\ \tan^2\theta=\ \sec^2\theta1 + tan2θ= sec2θ

Rewrite tan(x) in terms of sin(x) and cos(x).

Simplify: tan⁡ x cot⁡x −cos⁡2x\tan\ x\ \cot x\ -\cos^2xtan x cotx −cos2x

Simplify this to a basic trigonometry function:tan(x)csc(x)

Is this a pythagorean identity?tan2x + 1 = secx

Simplify. (csc⁡ α − 1)(csc⁡ α+1)\left(\csc\ \alpha\ -\ 1\right)\left(\csc\ \alpha+1\right)(csc α − 1)(csc α+1)

Simplify cos⁡ x(tan⁡ x + cot⁡ x)\cos\ x\left(\tan\ x\ +\ \cot\ x\right)cos x(tan x + cot x)

cot θ=

Simplify sin⁡x (csc⁡x +cot⁡x)\sin x\ \left(\csc x\ +\cot x\right)sinx (cscx +cotx)

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Please select the correct solution
$\cos^2x\ +\ \sin\ ^2x\ =\$

Solve the following for $\tan^2\theta$
$1\ +\ \tan^2\theta=\ \sec^2\theta$

Simplify:

$\tan\ x\ \cot x\ -\cos^2x$

Simplify this to a basic trigonometry function:
tan(x)csc(x)

Is this a pythagorean identity?
tan²x + 1 = secx

Simplify.
$\left(\csc\ \alpha\ -\ 1\right)\left(\csc\ \alpha+1\right)$

Simplify
$\cos\ x\left(\tan\ x\ +\ \cot\ x\right)$

Simplify
$\sin x\ \left(\csc x\ +\cot x\right)$