Simplify sin3- -sin- -sin-cos2-

The correct option is E 2sin^3 θ sin^ 3 θ + sinθ sinθcos^ 2 θ #160; = sin^ 3 θ #160;+ sinθ (1 cos^ 2 θ ) = #160;sin^ 3 θ + sinθ× # ...

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Standard X

Mathematics

Trigonometric Identities

Simplify si...

Question

Simplify ${sin}^{3} θ + sin θ - sin θ {cos}^{2} θ$ .

0

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sin θ

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sin 2 θ

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2 sin θ

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2 {sin}^{3} θ

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Solution

The correct option is E $2 {sin}^{3} θ$
${sin}^{3} θ + sin θ - sin θ {cos}^{2} θ$
$= {sin}^{3} θ + sin θ (1 - {cos}^{2} θ)$
$= {sin}^{3} θ + sin θ \times {sin}^{2} θ$
$= 2 {sin}^{3} θ$

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Simplify sin3θ+sinθ−sinθcos2θ.

The correct option is E 2sin3θsin3θ+sinθ−sinθcos2θ =sin3θ+sinθ(1−cos2θ)=sin3θ+sinθ×sin2θ=2sin3θ

Simplify ${sin}^{3} θ + sin θ - sin θ {cos}^{2} θ$ .

The correct option is E $2 {sin}^{3} θ$
${sin}^{3} θ + sin θ - sin θ {cos}^{2} θ$
$= {sin}^{3} θ + sin θ (1 - {cos}^{2} θ)$
$= {sin}^{3} θ + sin θ \times {sin}^{2} θ$
$= 2 {sin}^{3} θ$