Which rules could describe the rotation? Select two options

Mathematics

1 answer:

nasty-shy [4]2 years ago

3 0

Find the price and quantity
Qs=p2 + 2ps-15

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Simplify the expression csc(-x)/1+tan^2x)

Charra [1.4K]

Assuming ya meant $\frac{csc(-x)}{1+tan^2(x)}$

to slimplify, we use a variation of the pythagorean identity and a decomposition into the sin and cos

for the pythaogreaon identity
$cos^2(x)+sin^2(x)=1$
divide both sides by $cos^2(x)$
$1+tan^2(x)=sec^2(x)$ since $\frac{sin(x)}{cos(x)}=tan(x)$
subsitute
$\frac{csc(x)}{sec^2(x)}$

recall that $csc(x)=\frac{1}{cos(x)}$
also that cos(x) is an even function and thus cos(-x)=cos(x)
therfore $csc(-x)=\frac{1}{cos(-x)}=\frac{1}{cos(x)}=csc(x)$
so we get

$\frac{csc(x)}{sec^2(x)}$
decompose them into $\frac{1}{cos(x)}$ and $\frac{1}{sin^2(x)}$ to get $\frac{\frac{1}{cos(x)}}{\frac{1}{sin^2(x)}}$
multiply by $\frac{sin^2(x)}{sin^2(x)}$ to get
$\frac{sin^2(x)}{cos(x)}$
we can furthur simlify to get
$(\frac{sin(x)}{cos(x)})(sin(x))=tan(x)sin(x)$
the expression simplifies to tan(x)sin(x)

5 0

3 years ago

Read 2 more answers

¿Cuál es el resultado de (-8x²-11x+14)+(6x²-8x+4)?

Neko [114]

(-8x²-11x+14)+(6x²-8x+4)

Combine términos iguales.

Este es su resultado:

-2x²-19x+18

7 0

3 years ago

In △EFG the measure of ∠G=90°, EF = 5.2 feet and FG = 1.6 feet. Find the measure of ∠F to the nearest degree.

tia_tia [17]

Answer:

72°