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APPLYING TRIG IDENTITIES TO TRIG EXPRESSIONS

Authored by Greg Snelick

Mathematics

9th - 12th Grade

CCSS covered

Used 9+ times

APPLYING TRIG IDENTITIES TO TRIG EXPRESSIONS
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25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 2 pts

CATEGORY SUM & DIFFERENCE IDENTITY

sin⁡54°cos⁡16°−cos⁡54°sin⁡16°\sin54\degree\cos16\degree-\cos54\degree\sin16\degree

Which one of the following ratios, if any, is equivalent to the above expression?

sin⁡70°\sin70\degree

cos⁡70°\cos70\degree

sin⁡38°\sin38\degree

cos⁡38°\cos38\degree

No Expression is Equivalent

Tags

CCSS.HSF.TF.C.9

2.

DRAG AND DROP QUESTION

1 min • 2 pts

CATEGORY SUM & DIFFERENCE IDENTITY

cos⁡25°cos⁡10°−sin⁡25°sin⁡10°\cos25\degree\cos10\degree-\sin25\degree\sin10\degree

Equivalent Trig Ratio →\rightarrow ​ (a)  

cos⁡35°\cos35\degree  

sin⁡35°\sin35\degree
tan⁡35°\tan35\degree
cos⁡15°\cos15\degree
sin⁡15°\sin15\degree
tan⁡15°\tan15\degree

Tags

CCSS.HSF.TF.C.9

3.

MATH RESPONSE QUESTION

1 min • 2 pts

CATEGORY

SUM & DIFFERENCE IDENTITY

All ANGLES are in DEGREES

tan⁡65−tan⁡291+tan⁡65tan⁡29\frac{\tan65-\tan29}{1+\tan65\tan29}

Equivalent Trig Ratio

Submit TRIG NTRIG\ N

(no decimals)

tan⁡36\tan36

Mathematical Equivalence

OFF

Tags

CCSS.HSF.TF.C.9

4.

MULTIPLE CHOICE QUESTION

1 min • 2 pts

CATEGORY DOUBLE ANGLE IDENTITY

1−2sin⁡242°1-2\sin^242\degree

Which one of the following ratios, if any, is equivalent to the above expression?

sin⁡84°\sin84\degree

cos⁡84°\cos84\degree

sin⁡21°\sin21\degree

cos⁡21°\cos21\degree

No Expression is Equivalent

Tags

CCSS.HSF.TF.C.9

5.

DRAG AND DROP QUESTION

1 min • 2 pts

CATEGORY DOUBLE ANGLE IDENTITY

2tan⁡24°1−tan⁡ 224°\frac{2\tan24\degree}{1-\tan^{\ 2}24\degree}

Equivalent Trig Ratio →\rightarrow ​ (a)  

cos⁡48°\cos48\degree  

sin⁡48°\sin48\degree
tan⁡48°\tan48\degree
cos⁡12°\cos12\degree
sin⁡12°\sin12\degree
tan⁡12°\tan12\degree

Tags

CCSS.HSF.TF.C.9

6.

MATH RESPONSE QUESTION

1 min • 2 pts

CATEGORY

DOUBLE ANGLE IDENTITY

All ANGLES are in DEGREES

2sin⁡84cos⁡842\sin84\cos84

Equivalent Trig Ratio

Submit TRIG NTRIG\ N

(no decimals)

sin⁡168\sin168

Mathematical Equivalence

OFF

Tags

CCSS.HSF.TF.C.9

7.

MULTIPLE CHOICE QUESTION

1 min • 2 pts

CATEGORY

HALF ANGLE IDENTITY

1−cos⁡32°1+cos⁡32°\sqrt[]{\frac{1-\cos32\degree}{1+\cos32\degree}}

Which one of the following ratios, if any, is equivalent to the above expression?

tan⁡16°\tan16\degree

− tan⁡16°-\ \tan16\degree

tan⁡64°\tan64\degree

− tan⁡64°-\ \tan64\degree

No Expression is Equivalent

Tags

CCSS.HSF.TF.C.9

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