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Korvikt [17]
3 years ago
9

Which of the following expression is equivalent to sin(5x) ?

Mathematics
2 answers:
RSB [31]3 years ago
5 0
Use:\\sin(x+y)=sinxcosy+sinycosx\\-------------------------\\sin5x=sin(3x+2x)=sin3xcos2x+sin2xcos3x\\\\Answer:e)
castortr0y [4]3 years ago
3 0
Sin(5x)
=sin(3x+2x)
=sin3xcos2x+cos2xsin3x
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Answer:

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If tan0=-3/4 and 0 is in quadrant IV, cos20= (33/25, -17/25, 32/25, 7/25, 24/25?) and tan20= (24/7, -24/7, 7/25, -7/25, 13/7, -1
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Answer:

  • cos(2θ) = 7/25
  • tan(2θ) = -24/7

Step-by-step explanation:

Sometimes, it is easiest to let a calculator do the work. (See below)

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The magnitude of the tangent is less than 1, so the reference angle will be less than 45°. Then double the angle will be less than 90°, so will remain in the 4th quadrant, where the cosine is positive and the tangent is negative.

You can also use the identities ...

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  cos(2θ) = 7/25

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  tan(2θ) = 2tan(θ)/(1 -tan(θ)²) = 2(-3/4)/((16-9/16) = (-6/4)(16/7)

  tan(2θ) = -24/7

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We need to buy 4 spirals for every student. If we have 25 students, how many spirals should we order?
ozzi

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4 spirals for 1 student. 4 x 25 to get the total number, and that equals 100

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3 years ago
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