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MATH / The expression

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

The expression sin32xcos6x+cos32xsin6x\sin^3 2x \cos 6x + \cos^3 2x \sin 6xcan be written in the equivalent form asinbxa \sin bx for some positive constants aa and b.b. Find a+b.a + b.
Plain-text mathematical notation (without MathML)
The expression
sin³2xcos6x+cos³2xsin6xcan be written in the equivalent form asinbx for some positive constants a and b.  Find a+b.
Original LaTeX notation
The expression
\[\sin^3 2x \cos 6x + \cos^3 2x \sin 6x\]can be written in the equivalent form $a \sin bx$ for some positive constants $a$ and $b.$  Find $a + b.$

level

Level 4

type

Precalculus

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Source and history

task_id
1b6d4df9-432f-5299-82f6-0e37385d12da
task_key
precalculus--test--1b6d4df9-432f-5299-82f6-0e37385d12da
task_revision_id
1
config / split
precalculus / test

Official source

initial import