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Ira Lisetskai [31]
4 years ago
7

Derive identity sin(3x) = 3 sinx−4 sin³x

Mathematics
1 answer:
sesenic [268]4 years ago
5 0
sin3x=3sinx-4sin^3x\\\\L=sin(2x+x)=sin2xcosx+sinxcos2x\\\\=2sinxcosxcosx+sinx(cos^2x-sin^2x)\\\\=2sinxcos^2x+sinxcos^2x-sin^3x\\\\=3sinxcos^2x-sin^3x\\\\=3sinx(1-sin^2x)-sin^3x\\\\=3sinx-3sin^3x-sin^3x\\\\=3sinx-4sin^3x=R
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Fittoniya [83]

Answer:

C. The equation has no solution

Step-by-step explanation:

I hope this helps you out!

5 0
3 years ago
A rectangle has vertices at these corrdinates (1, 2), (3, 2), (1, -8)
Vilka [71]

Answer:

(3,-8)

Step-by-step explanation:

Graph the points on the coordinate plane. Since a rectangle has equal sides with 90 degree angles, the last point will be below (3,2) at the same level as (1,-8). This point is (3,-8).

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Does anyone know the answer to this please ?
andriy [413]

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3 years ago
Isabelle, who is 62 inches tall, is standing beside a tree and casts a 93 inch shadow on the ground. The shadow of the tree she
Illusion [34]

Given:

Height of Isabelle = 62 inches

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To find:

The height of the tree.

Solution:

Let height of tree be x.

Ratio of height to shadow for Isabelle and tree are

\dfrac{\text{Height of Isabelle}}{\text{Shadow of Isabelle}}=\dfrac{62}{93}

\dfrac{\text{Height of tree}}{\text{Shadow of tree}}=\dfrac{x}{279}

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Multiply both sides by 279.

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