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Question #335182
Which of the following is an equivalent expression to sin
θ
− (sin
θ
)(cos
2
θ
)?
Expert's answer
sin
θ
−
(
sin
θ
)
(
cos
2
θ
)
=
sin
θ
(
1
−
cos
2
θ
)
\sin \theta-(\sin\theta)(\cos^2\theta)=\sin \theta(1-\cos^2\theta)
sin
θ
−
(
sin
θ
)
(
cos
2
θ
)
=
sin
θ
(
1
−
cos
2
θ
)
=
sin
θ
(
sin
2
θ
)
=
sin
3
θ
=\sin \theta(\sin^2 \theta)=\sin^3 \theta
=
sin
θ
(
sin
2
θ
)
=
sin
3
θ
sin
θ
−
(
sin
θ
)
(
cos
2
θ
)
=
sin
3
θ
\sin \theta-(\sin\theta)(\cos^2\theta)=\sin^3 \theta
sin
θ
−
(
sin
θ
)
(
cos
2
θ
)
=
sin
3
θ
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on Dec 2023
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