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Grade 11 Reduction Formula

Authored by Raigaan Allawi

Mathematics

11th Grade

CCSS covered

Used 56+ times

Grade 11 Reduction Formula
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write the following in terms of a single trigonometric ratio:
 tan⁡(180°−θ)×sin⁡(180°+θ)\tan(180°−θ)×\sin(180°+θ)  

 −1-1  

 tan⁡θ\tan\theta  

 1−cos⁡2θcos⁡θ\frac{1−\cos^2θ}{\cosθ}  

 −sin⁡θ-\sin\theta  

Tags

CCSS.HSF.TF.C.9

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Simplify tan⁡(180°+θ)cos⁡(180°−θ)sin⁡(180°−θ)\frac{\tan(180°+θ)\cos(180°−θ)}{\sin(180°−θ)}  

 11  

 −1-1  

 sin⁡θ\sin\theta  

 tan⁡θ\tan\theta  

Tags

CCSS.HSF.TF.C.9

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Simplify tan⁡(180°−θ)sin⁡(360°+θ)cos⁡(180°+θ)tan⁡(360°−θ)\frac{\tan(180°−θ)\sin(360°+θ)}{\cos(180°+θ)\tan(360°−θ)}  

 11  

 cos⁡θ\cosθ  

 sin⁡θ\sinθ  

 −tan⁡θ−\tanθ  

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Simplify sin⁡(360°+α)tan⁡(180°+α)cos⁡(360°−α)tan⁡2(360°+α)\frac{\sin(360°+α)\tan(180°+α)}{\cos(360°−α)\tan^2(360°+α)}  

 −1-1  

 11  

 tan⁡α\tan\alpha  

 cos⁡α\cos\alpha  

Tags

CCSS.HSF.TF.C.9

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Simplify cos⁡2(360°+θ)+cos⁡(180°+θ)tan⁡(360°−θ)sin⁡(360°+θ)\cos^2(360°+θ)+\cos(180°+θ)\tan(360°−θ)\sin(360°+θ)  

 −1-1  

 11  

 22  

 sin⁡θ\sin\theta  

Tags

CCSS.HSF.TF.C.9

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Simplify cos⁡(90°+θ)sin⁡(θ+90°)sin⁡(−θ)\frac{\cos(90°+θ)\sin(θ+90°)}{\sin(−θ)}  

 −sin⁡θ-\sin\theta  

 sin⁡θ\sin\theta  

 cos⁡θ\cosθ  

 −cos⁡θ-\cos\theta  

Tags

CCSS.HSF.TF.C.9

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Simplify 2sin⁡(90°−x)+sin⁡(90°+x)sin⁡(90°−x)+cos⁡(180°+x)\frac{2\sin(90°−x)+\sin(90°+x)}{\sin(90°−x)+\cos(180°+x)}  

 33  

 22  

 23\frac{2}{3}  

 32\frac{3}{2}  

Tags

CCSS.HSF.TF.C.9

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