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CanadaON
Grade 12

EXT: Apply double and half angle identities

Interactive practice questions

By simplifying the left hand side ($LHS$LHS) of the identity, prove that $\frac{1-\cos2x}{\sin2x}=\tan x$1cos2xsin2x=tanx.

Easy
6min

By simplifying the left hand side ($LHS$LHS) of the identity, prove that $\frac{2\tan A}{1+\tan^2\left(A\right)}=\sin2A$2tanA1+tan2(A)=sin2A.

Easy
5min

By simplifying the left hand side ($LHS$LHS) of the identity, prove that $\frac{2\sin^3\left(x\right)+2\cos^3\left(x\right)}{\sin x+\cos x}=2-\sin2x$2sin3(x)+2cos3(x)sinx+cosx=2sin2x, for $\sin x+\cos x\ne0$sinx+cosx0.

Easy
7min
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