trig identities, double angle, half angle

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.TF.C.9, HSF.TF.C.8

Standards-aligned

Gary Blanpied

Used 27+ times

FREE Resource

10 questions

Show all answers

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$If\ \sin\theta\ =\ \frac{4}{5},\ where\ 0\le\theta\le\frac{\pi}{2},find\ \sin2\theta$

$\frac{12}{25}$

$\frac{24}{25}$

$-\frac{24}{25}$

$\frac{3}{5}$

Tags

CCSS.HSF.TF.C.9

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$If\ \sin\theta\ =\ \frac{4}{5},\ where\ 0\le\theta\le\frac{\pi}{2},find\ \sin\left(\frac{\theta}{2}\right)$

$\sqrt{\frac{2}{5}}$

$\sqrt{\frac{1}{5}}$

$-\sqrt{5}$

$-\sqrt{\frac{1}{5}}$

Tags

CCSS.HSF.TF.C.9

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$If\ \sin\theta\ =\ \frac{-4}{5},\ where\ \pi\le\theta\le\frac{3\pi}{2},find\ \sin2\theta$

$\frac{12}{25}$

$\frac{24}{25}$

$-\frac{24}{25}$

$\frac{3}{5}$

Tags

CCSS.HSF.TF.C.9

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$If\ \sin\theta\ =\ \frac{-4}{5},\ where\ \pi\le\theta\le\frac{3\pi}{2},find\ \tan2\theta$

$\frac{-24}{7}$

$\frac{24}{7}$

$-\frac{24}{25}$

$\frac{24}{25}$

Tags

CCSS.HSF.TF.C.9

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$If\ \cos\theta\ =\ \frac{3}{5},\ where\ 0\le\theta\le\frac{\pi}{2},find\ \cos2\theta$

$\frac{12}{25}$

$\frac{24}{25}$

$-\frac{7}{25}$

$\frac{7}{25}$

Tags

CCSS.HSF.TF.C.9

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$If\ \sin\theta\ =\ \frac{4}{5},\ where\ \frac{\pi}{2}\le\theta\le\pi,find\ \cos2\theta$

$\frac{7}{25}$

$\frac{24}{25}$

$-\frac{24}{25}$

$\frac{-7}{25}$

Tags

CCSS.HSF.TF.C.9

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$If\ \sin\theta\ =\ \frac{4}{5},\ where\ \frac{\pi}{2}\le\theta\le\pi,find\ \sin2\theta$

$\frac{7}{25}$

$\frac{24}{25}$

$-\frac{24}{25}$

$\frac{-7}{25}$

Tags

CCSS.HSF.TF.C.9

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$If\ \tan\theta\ =\ \frac{-4}{3},\ where\ \frac{3\pi}{2}\le\theta\le2\pi,find\ \sin2\theta$

$\frac{7}{25}$

$\frac{24}{25}$

$-\frac{24}{25}$

$\frac{-7}{25}$

Tags

CCSS.HSF.TF.C.9

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$If\ \tan\theta\ =\ \frac{-4}{3},\ where\ \frac{3\pi}{2}\le\theta\le2\pi,find\ \sin\theta$

$\frac{7}{25}$

$\frac{24}{25}$

$-\frac{24}{25}$

$\frac{-4}{5}$

Tags

CCSS.HSF.TF.C.8

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$If\ \tan\theta\ =\ \frac{-4}{3},\ where\ \frac{3\pi}{2}\le\theta\le2\pi,find\ \cos2\theta$

$\frac{7}{25}$

$\frac{24}{25}$

$-\frac{24}{25}$

$\frac{-7}{25}$

Tags

CCSS.HSF.TF.C.9

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trig identities, double angle, half angle

10 questions

If sin⁡θ = 45, where 0≤θ≤π2,find sin⁡2θIf\ \sin\theta\ =\ \frac{4}{5},\ where\ 0\le\theta\le\frac{\pi}{2},find\ \sin2\thetaIf sinθ = 54​, where 0≤θ≤2π​,find sin2θ

If sin⁡θ = 45, where 0≤θ≤π2,find sin⁡(θ2)If\ \sin\theta\ =\ \frac{4}{5},\ where\ 0\le\theta\le\frac{\pi}{2},find\ \sin\left(\frac{\theta}{2}\right)If sinθ = 54​, where 0≤θ≤2π​,find sin(2θ​)

If sin⁡θ = −45, where π≤θ≤3π2,find sin⁡2θIf\ \sin\theta\ =\ \frac{-4}{5},\ where\ \pi\le\theta\le\frac{3\pi}{2},find\ \sin2\thetaIf sinθ = 5−4​, where π≤θ≤23π​,find sin2θ

If sin⁡θ = −45, where π≤θ≤3π2,find tan⁡2θIf\ \sin\theta\ =\ \frac{-4}{5},\ where\ \pi\le\theta\le\frac{3\pi}{2},find\ \tan2\thetaIf sinθ = 5−4​, where π≤θ≤23π​,find tan2θ

If cos⁡θ = 35, where 0≤θ≤π2,find cos⁡2θIf\ \cos\theta\ =\ \frac{3}{5},\ where\ 0\le\theta\le\frac{\pi}{2},find\ \cos2\thetaIf cosθ = 53​, where 0≤θ≤2π​,find cos2θ

If sin⁡θ = 45, where π2≤θ≤π,find cos⁡2θIf\ \sin\theta\ =\ \frac{4}{5},\ where\ \frac{\pi}{2}\le\theta\le\pi,find\ \cos2\thetaIf sinθ = 54​, where 2π​≤θ≤π,find cos2θ

If sin⁡θ = 45, where π2≤θ≤π,find sin⁡2θIf\ \sin\theta\ =\ \frac{4}{5},\ where\ \frac{\pi}{2}\le\theta\le\pi,find\ \sin2\thetaIf sinθ = 54​, where 2π​≤θ≤π,find sin2θ

If tan⁡θ = −43, where 3π2≤θ≤2π,find sin⁡2θIf\ \tan\theta\ =\ \frac{-4}{3},\ where\ \frac{3\pi}{2}\le\theta\le2\pi,find\ \sin2\thetaIf tanθ = 3−4​, where 23π​≤θ≤2π,find sin2θ

If tan⁡θ = −43, where 3π2≤θ≤2π,find sin⁡θIf\ \tan\theta\ =\ \frac{-4}{3},\ where\ \frac{3\pi}{2}\le\theta\le2\pi,find\ \sin\thetaIf tanθ = 3−4​, where 23π​≤θ≤2π,find sinθ

If tan⁡θ = −43, where 3π2≤θ≤2π,find cos⁡2θIf\ \tan\theta\ =\ \frac{-4}{3},\ where\ \frac{3\pi}{2}\le\theta\le2\pi,find\ \cos2\thetaIf tanθ = 3−4​, where 23π​≤θ≤2π,find cos2θ

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$If\ \sin\theta\ =\ \frac{4}{5},\ where\ 0\le\theta\le\frac{\pi}{2},find\ \sin2\theta$

$If\ \sin\theta\ =\ \frac{4}{5},\ where\ 0\le\theta\le\frac{\pi}{2},find\ \sin\left(\frac{\theta}{2}\right)$

$If\ \sin\theta\ =\ \frac{-4}{5},\ where\ \pi\le\theta\le\frac{3\pi}{2},find\ \sin2\theta$

$If\ \sin\theta\ =\ \frac{-4}{5},\ where\ \pi\le\theta\le\frac{3\pi}{2},find\ \tan2\theta$

$If\ \cos\theta\ =\ \frac{3}{5},\ where\ 0\le\theta\le\frac{\pi}{2},find\ \cos2\theta$

$If\ \sin\theta\ =\ \frac{4}{5},\ where\ \frac{\pi}{2}\le\theta\le\pi,find\ \cos2\theta$

$If\ \sin\theta\ =\ \frac{4}{5},\ where\ \frac{\pi}{2}\le\theta\le\pi,find\ \sin2\theta$

$If\ \tan\theta\ =\ \frac{-4}{3},\ where\ \frac{3\pi}{2}\le\theta\le2\pi,find\ \sin2\theta$

$If\ \tan\theta\ =\ \frac{-4}{3},\ where\ \frac{3\pi}{2}\le\theta\le2\pi,find\ \sin\theta$

$If\ \tan\theta\ =\ \frac{-4}{3},\ where\ \frac{3\pi}{2}\le\theta\le2\pi,find\ \cos2\theta$