SOLUTION: Write each expression in terms of a single trigonometric function:
1.sinxcos2x-sin2xcosx
2.cos4xcos3x-sin3xsin4x
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Question 861036: Write each expression in terms of a single trigonometric function:
1.sinxcos2x-sin2xcosx
2.cos4xcos3x-sin3xsin4x
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Write each expression in terms of a single trigonometric function:
1.sinxcos2x-sin2xcosx
-----
sin(x)(1-2sin^2(x)) - 2sin(x)cos^2(x)
---
= sin(x) - 2sin^3(x) - 2sin^2(x) -2sin^3(x)
= -4sin^3(x) - 2sin^2(x) + sin(x)
=========================================
2.cos4xcos3x-sin3xsin4x
---
(1/2)[cos(x) + cos(7x)] - (1/2)[cos(x)-cos(7x)]
-----
= 2cos(7x)
--------------------------
Cheers,
Stan H.
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