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CanadaON
Grade 11

Pythagorean identities

Interactive practice questions

Find the exact value of $\sin^2\left(20^\circ\right)+\cos^2\left(20^\circ\right)$sin2(20°)+cos2(20°).

Easy
1min

Consider the statement: $\sin^2\left(\theta\right)+\cos^2\left(\theta\right)=2$sin2(θ)+cos2(θ)=2

Is the statement possible or impossible?

Easy
< 1min

Which of the following options correctly completes the identity?

$\tan^2\left(x\right)+1=\editable{}$tan2(x)+1=

Easy
< 1min

Which of the following options correctly completes the identity?

$1=\editable{}$1=

Easy
< 1min
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Outcomes

11U.D.1.5

Prove simple trigonometric identities, using the Pythagorean identity sin^2(x) + cos^2(x) = 1; the quotient identity tanx=sinx/cosx; and the reciprocal identities secx=1/cosx, cscx=1/sinx, cotx=1/tanx

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