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Mathematics

9th - 12th Grade

Used 1+ times

Review_Unit 4_Trig Identities
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19 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

1−cos⁡2x=?1-\cos^2x=?  

cot⁡2x\cot^2x  

tan⁡2x\tan^2x  

csc⁡2x\csc^2x  

sin⁡2x\sin^2x  

Answer explanation

Remember the Pythagorean Identity:  1=sin⁡2x+cos⁡2x1=\sin^2x+\cos^2x 
In this question, all they did was subtract  cos⁡2x\cos^2x   from both sides. Can you see that?

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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Simplify

-1
sin θ
csc θ
1

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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Simplify (Hint: you will need to FOIL first)

sinθ

cot²θ

tan²θ

cos²θ

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Multiply and simplify.
(1 - cos x)(1 + cos x)

sin2 x
cos2 x
tan2 x
csc2 x

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is equivalent to tan⁡ (A−B)\tan\ \left(A-B\right)  

tan⁡ A − tan⁡ B\tan\ A\ -\ \tan\ B  

tan⁡ A −tan⁡ B1+ tan⁡Atan⁡B\frac{\tan\ A\ -\tan\ B}{1+\ \tan A\tan B}  

tan⁡ A +tan⁡ B1− tan⁡Atan⁡B\frac{\tan\ A\ +\tan\ B}{1-\ \tan A\tan B}  

sin⁡ Acos⁡ B\frac{\sin\ A}{\cos\ B}  

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Use a double-angle or half-angle identity to find the exact value of each expression

cos θ = 4/5 and 270° < θ < 360°Find sin 2θ

-1/5

24/25

-24/25

-25/24

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Use Sum or Difference Identities to find the exact value of each expression.

cos(75°)

1/4

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