3 years ago

Verify the identity Cos^2x-Sin^2x=1-2sin^2x

1 answer:

8 0

$Cos^2x-Sin^2x=1-2sin^2x \\ Cos^2x-Sin^2=cos(2x) \\ 1-2sin^2=cos2x \\ cos(2x) =cos2x \\ \\ \\ Cos^2x-Sin^2x=1-2sin^2x \\ \mathrm{cos^2x+sin^2x=1 ~~~\Rightarrow ~~cos^2x=1-sin^2x} } \\ 1-sin^2x-sin^2x=1-2sin^2x \\ 1-2sin^2x=1-2sin^2x$

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Black_prince [1.1K]

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3 years ago

Read 2 more answers

What solid 3D object is produced by rotating the triangle about line m?

elena55 [62]

Answer: A cone with height 3 and radius 1

Step-by-step explanation:

Hi, searching I found the image for the question, attached down below.

By rotating the triangle about line m, a cone with height 3 and radius 1 is produced.

Solid 3d objects are produced by rotating a 2d figure around a straight line that lies in the same place.

in our case, if we rotate the triangle around the line, the vertices in touch with the line m remains stationary, while the remaining vertex follows the path of a circle, creating a cone.