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s344n2d4d5 [400]
2 years ago
8

What is 24.2% of 120

Mathematics
1 answer:
katen-ka-za [31]2 years ago
3 0

Answer:

29.04

Step-by-step explanation:

Multiply: 120*.242=29.04

It's multiplied by .242 bc if you want to turn a percentage into a decimal you need to move the decimal twice to the left. So, 24.2 becomes .242.

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(tan²(<em>θ</em>) cos²(<em>θ</em>) - 1) / (1 + cos(2<em>θ</em>))

Recall that

tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>)

so cos²(<em>θ</em>) cancels with the cos²(<em>θ</em>) in the tan²(<em>θ</em>) term:

(sin²(<em>θ</em>) - 1) / (1 + cos(2<em>θ</em>))

Recall the double angle identity for cosine,

cos(2<em>θ</em>) = 2 cos²(<em>θ</em>) - 1

so the 1 in the denominator also vanishes:

(sin²(<em>θ</em>) - 1) / (2 cos²(<em>θ</em>))

Recall the Pythagorean identity,

cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1

which means

sin²(<em>θ</em>) - 1 = -cos²(<em>θ</em>):

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Cancel the cos²(<em>θ</em>) terms to end up with

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