Q6 Q1.) Use the power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of t

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Juli2301 [7.4K]

3 years ago

11

Q6 Q1.) Use the power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of t

rigonometric functions greater than 1.

Mathematics

2 answers:

anyanavicka [17] · Answer 1 · 2022-01-21T03:54:52+03:00

anyanavicka [17]3 years ago

7 0

Using sin2A=2sinAcosB and sin^2A=[1-cos(2A)]/2

16sin^2(x)cos^2(x) = 4[(2sin(x)cos(x)][2sin(x)cos(x)]

=4sin^2(2x)

=2(1-cos4x)

lisabon 2012 [21] · Answer 2 · 2022-01-21T05:18:08+03:00

lisabon 2012 [21]3 years ago

3 0

16sin^2(x)cos^2(x)
= 16sin^2(x)(1-sin^2(x))
= 16sin^2(x) - 16sin^4(x)
w/ 2nd n 4th power reduction forumla of sine
= 16(1-cos(2x))/2 - 16(3-4cos2x+cos4x)/8
= 8(1-cos(2x)) - 2(3-4cos2x+cos4x)
= 8 - 6 - 8cos2x + 8cos2x - 2cos4x
= 2 - 2cos4x

Q6 Q1.) Use the​ power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of t

Q6 Q1.) Use the power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of t