Solve equation for 0 ≤ θ < 2 π 0\le\theta<2\pi 0 ≤ θ < 2 π . − 2 + cot ⁡ θ = − 3 -2+\cot\theta=-3 − 2 + cot θ = − 3

θ = 3 π 4 , 7 π 4 \theta=\frac{3\pi}{4},\frac{7\pi}{4} θ = 4 3 π , 4 7 π

θ = 3 π 4 , 4 π 3 , 7 π 4 \theta=\frac{3\pi}{4},\frac{4\pi}{3},\frac{7\pi}{4} θ = 4 3 π , 3 4 π , 4 7 π

θ = π 3 , 4 π 3 \theta=\frac{\pi}{3},\frac{4\pi}{3} θ = 3 π , 3 4 π

θ = 3 π 4 , 4 π 3 \theta=\frac{3\pi}{4},\frac{4\pi}{3} θ = 4 3 π , 3 4 π

not possible because rows do not match columns

tan ⁡ 4 5 o + tan ⁡ 3 0 o 1 − tan ⁡ 4 5 o tan ⁡ 3 0 o \frac{\tan45^o+\tan30^o}{1-\tan45^o\tan30^o} 1 − tan 4 5 o tan 3 0 o tan 4 5 o + tan 3 0 o is equivalent to

tan ⁡ 7 5 o \tan75^o tan 7 5 o

tan ⁡ 1 5 o \tan\ 15^o tan 1 5 o

sin ⁡ 4 5 o cos ⁡ 3 0 o \frac{\sin45^o}{\cos30^o} cos 3 0 o sin 4 5 o

tan ⁡ 9 0 o \tan90^{o\ } tan 9 0 o

Expand and simplify tan ⁡ ( x + π 4 ) \tan\ \left(x+\frac{\pi}{4}\right) tan ( x + 4 π )

tan ⁡ x + 1 1 − tan ⁡ x \frac{\tan\ x+1}{1-\tan x} 1 − tan x tan x + 1

tan ⁡ x + 1 \tan\ x+1 tan x + 1

tan ⁡ x − 1 \tan x-1 tan x − 1

tan ⁡ x − 1 1 + tan ⁡ x \frac{\tan x-1}{1+\tan x} 1 + tan x tan x − 1

Use a sum or difference identity to find the EXACT value: sin ⁡ ( 75 ° ) \sin\left(75\degree\right) sin ( 7 5 ° )

2 + 6 4 \frac{\sqrt{2}+\sqrt{6}}{4} 4 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 − 6 4 \frac{\sqrt{2}-\sqrt{6}}{4} 4 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 6 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Write the expression as the sine or cosine of a single angle: cos ⁡ 94 ° cos ⁡ 18 ° + sin ⁡ 94 ° sin ⁡ 18 ° \cos94\degree\cos18\degree+\sin94\degree\sin18\degree cos 9 4 ° cos 1 8 ° + sin 9 4 ° sin 1 8 °

cos ⁡ ( 76 ° ) \cos\left(76\degree\right) cos ( 7 6 ° )

sin ⁡ ( 76 ° ) \sin\left(76\degree\right) sin ( 7 6 ° )

cos ⁡ ( 112 ° ) \cos\left(112\degree\right) cos ( 1 1 2 ° )

sin ⁡ ( 112 ° ) \sin\left(112\degree\right) sin ( 1 1 2 ° )

Write the expression as the sine or cosine of a single angle: sin ⁡ ( π 3 ) cos ⁡ ( π 7 ) − sin ⁡ ( π 7 ) cos ⁡ ( π 3 ) \sin\left(\frac{\pi}{3}\right)\cos\left(\frac{\pi}{7}\right)-\sin\left(\frac{\pi}{7}\right)\cos\left(\frac{\pi}{3}\right) sin ( 3 π ) cos ( 7 π ) − sin ( 7 π ) cos ( 3 π )

sin ⁡ ( 4 π 21 ) \sin\left(\frac{4\pi}{21}\right) sin ( 2 1 4 π )

cos ⁡ ( 4 π 21 ) \cos\left(\frac{4\pi}{21}\right) cos ( 2 1 4 π )

cos ⁡ ( 10 π 21 ) \cos\left(\frac{10\pi}{21}\right) cos ( 2 1 1 0 π )

sin ⁡ ( 10 π 21 ) \sin\left(\frac{10\pi}{21}\right) sin ( 2 1 1 0 π )

Cumulative Final Exam Review

Authored by Megan Cason

Mathematics

11th - 12th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

10 sec • 1 pt

√3/3

√3

undefined

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

sec 3π/2

undefined

-1

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

cot 3π/4

-√2/2

-1

√2/2

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

csc 330⁰

-2

√2

-√2

Tags

CCSS.HSG.SRT.C.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

what is the amplitude of
y = -3sin (7x) -2

-2

-3

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 12 pts

What is the maximum value of the wave y = 10sin(2x - 20) + 25?

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which is an equation of the cosine function with an amplitude of 2, period of Π, phase shift of Π/2?

y= -2cos(x/2 - ∏/4)

y= 2cos (x/2 + ∏)

y= 2cos (2x-∏)

y= -2cos(2x-∏/2)

Tags

CCSS.HSF-IF.C.7E

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