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3 years ago

What's the name of this communicatesin2a+cos2a=1

Mathematics

1 answer:

9966 [12]3 years ago

4 0

Answer:

sin2A +cos2A=1. Its a standard identity.

We know that sinA= H B

--- and cos A=----

P H

Hence sin² A= P² B²

----- and cos²A -----

H² H²

Hence adding the above given functions sin²A+cos²A we get

H²

sin²A+cos²A = -------- =1

H²

Using P² +B²=H² by Pythagoras Theorem

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3 years ago

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4 years ago

For a circle radius of 8 feet, find the arc length s if the central angle is 10*

ser-zykov [4K]

Answer:

The correct answer is Option 1: s = 4/9pi feet

Step-by-step explanation:

Given that

The radius of circle is 8 feet

r = 8

Central angle is:10°

The arc length is denoted by s and is calculated by the formula:

$s = 2\pi r.\frac{x}{360 \textdegree}$

Here x is the central angle

Putting the known values we will get:

$s = 2\pi (8).\frac{10 \textdegree}{360 \textdegree}\\s = 16\pi . (\frac{1}{36})\\s = \frac{16\pi}{36}\\s = \frac{4}{9} \pi$

The arc length is 4/9 pi feet.

Hence,

The correct answer is Option 1: s = 4/9pi feet

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3 years ago

What's the name of this communicatesin2a+cos2a=1​

What's the name of this communicatesin2a+cos2a=1