What can be entered into a calculator in order to solve for x: tan ⁡ 12 ° = 22 x \tan12\degree\ =\ \frac{22}{x} tan 1 2 ° = x 2 2

22 tan ⁡ ( 12 ° ) \frac{22}{\tan\left(12\degree\right)} tan ( 1 2 ° ) 2 2

1 sin ⁡ x \frac{1}{\sin x} sin x 1

1 tan ⁡ x \frac{1}{\tan x} tan x 1

1 cos ⁡ x \frac{1}{\cos x} cos x 1

1 sin ⁡ x \frac{1}{\sin x} sin x 1

1 tan ⁡ x \frac{1}{\tan x} tan x 1

Choose the true statements

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

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

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

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

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

Which ones are the Quotient Identities?

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

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

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

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

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

Which ones are the Reciprocal Identities?

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

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

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

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

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

What can be entered into a calculator in order to solve the equation sin ⁡ 38 ° = x 16 \sin38\degree=\frac{x}{16} sin 3 8 ° = 1 6 x

sin ⁡ 38 16 \frac{\sin38}{16} 1 6 sin 3 8

Check all correct equations

sin ⁡ 40 ° = x 19 \sin\ 40\degree=\frac{x}{19} sin 4 0 ° = 1 9 x

cos ⁡ 50 ° = x 19 \cos50\degree=\frac{x}{19} cos 5 0 ° = 1 9 x

csc ⁡ 40 ° = 19 x \csc40\degree=\frac{19}{x} csc 4 0 ° = x 1 9

sec ⁡ 40 ° = 19 x \sec40\degree=\frac{19}{x} sec 4 0 ° = x 1 9

Resource Library

Math

Trigonometry

Trigonometric Ratios Sin, Cos, Tan, Csc, Sec And Cot

Trig Ratios And Identities

Trig Ratios and Identities

Authored by Susan Thompson

Mathematics

9th - 12th Grade

CCSS covered

Used 45+ times

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24 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What can be entered into a calculator in order to solve for x:
$\tan12\degree\ =\ \frac{22}{x}$

$\frac{22}{\tan\left(12\degree\right)}$

22 tan(12)

103.5

none of these

Tags

CCSS.HSG.SRT.C.8

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Which of these are correct ratios for the given triangle?

$\sin40\degree\ =\ \frac{w}{28}$

$\cos50\degree=\ \frac{w}{28}$

$\sin40=\frac{28}{w}$

$\cos50\degree=\frac{28}{w}$

Tags

CCSS.HSG.SRT.C.6

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Susan is flying a kite, which gets caught in the top of a tree. Which equation can be used to find the height of the tree?

$\sin\ 44\degree=\frac{x}{90}$

$\cos44\degree=\frac{x}{90}$

$\tan40\degree=\frac{x}{90}$

$x^2+90^2=44^2$

Tags

CCSS.HSG.SRT.C.8

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find x.

√3

10√3

Tags

CCSS.HSG.SRT.C.8

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Please select the correct solution
cos²x + sin ²x=

csc²x + sec²x

sin²x

1 - sin²x

Tags

CCSS.HSF.TF.C.8

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Please select the correct solution

csc x

sec x

cot x

tan x

Tags

CCSS.HSF.TF.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

True or false:
sin²θ = (sin θ)²

True

False

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Trig Ratios and Identities

What can be entered into a calculator in order to solve for x:
$\tan12\degree\ =\ \frac{22}{x}$

Which of these are correct ratios for the given triangle?