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Mathematics

11th Grade

CCSS covered

Used 48+ times

5.2d verify trig identities
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27 questions

Show all answers

1.

MATCH QUESTION

45 sec • 5 pts

Match the following

sinθ

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

secθ

1sin⁡θ\frac{1}{\sin\theta}

cscθ

1csc⁡θ\frac{1}{\csc\theta}

tanθ

1cos⁡θ\frac{1}{\cos\theta}

Tags

CCSS.HSF.TF.A.2

2.

MULTIPLE SELECT QUESTION

45 sec • 5 pts

Select all that are true

sin⁡2θ+cos⁡2θ=1\sin^2\theta+\cos^2\theta=1

cos⁡2=1−sin⁡2θ\cos^2=1-\sin^2\theta

sin⁡2θ=1−cos⁡2θ\sin^2\theta=1-\cos^2\theta

sin⁡2θ+1=−cos⁡2θ\sin^2\theta+1=-\cos^2\theta

sin⁡θ+cos⁡θ=1\sin\theta+\cos\theta=1

Tags

CCSS.HSF.TF.C.8

3.

MULTIPLE SELECT QUESTION

45 sec • 5 pts

Select all the correct variations of the following pythagorean identity:

1+cot⁡2θ=csc⁡2θ1+\cot^2\theta=\csc^2\theta

cot⁡2θ=csc⁡2θ−1\cot^2\theta=\csc^2\theta-1

1=csc⁡2θ−cot⁡2θ1=\csc^2\theta-\cot^2\theta

cot⁡2θ+csc⁡2θ=1\cot^2\theta+\csc^2\theta=1

cot⁡2θ−csc⁡2θ=1\cot^2\theta-\csc^2\theta=1

4.

MULTIPLE SELECT QUESTION

45 sec • 5 pts

Select all the correct variations of the following pythagorean identity:

1+tan⁡2θ=sec⁡2θ1+\tan^2\theta=\sec^2\theta

1=sec⁡2θ−tan⁡2θ1=\sec^2\theta-\tan^2\theta

tan⁡2θ=sec⁡2θ−1\tan^2\theta=\sec^2\theta-1

tan⁡2θ+sec⁡2θ=1\tan^2\theta+\sec^2\theta=1

sec⁡θ−tan⁡θ=1\sec\theta-\tan\theta=1

5.

MATH RESPONSE QUESTION

45 sec • 5 pts

sin⁡θ⋅csc⁡θ\sin\theta\cdot\csc\theta

Simplify this trig expression into a single number.

11

Mathematical Equivalence

ON

6.

MATH RESPONSE QUESTION

45 sec • 5 pts

tan⁡θ⋅cot⁡θ\tan\theta\cdot\cot\theta

Simplify this trig expression into a single number.

11

Mathematical Equivalence

ON

7.

MATH RESPONSE QUESTION

45 sec • 5 pts

cos⁡θ⋅sec⁡θ\cos\theta\cdot\sec\theta

Simplify this trig expression into a single number.

11

Mathematical Equivalence

ON

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