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3 years ago

Cos B =tan B =sin B =

Mathematics

1 answer:

Oduvanchick [21]3 years ago

8 0

The three main trig functions are sine (written as sin), cosine (written as cos), and tangent (written as tan).

Sine of an angle = the length of the side opposite (aka across) the angle / the length of the hypotenuse

Cosine of an angle = the length of the side adjacent (aka the side next to which isn't the hypotenuse) to the angle / the length of the hypotenuse

Tangent of an angle = the length of the side opposite of the angle / the length of the side adjacent to the angle.

The acronym to remember this is SOHCAHTOA

SOH | CAH | TOA

SOH means sin(x) = opposite/hypotenuse

CAH means cos(x) = adjacent/hypotenuse

TOA means tan(x)= opposite/adjacent

cosB = length of adjacent side/length of hypotenuse = 7/25

tanB = length of opposite/length of adjacent = 24/7

sinB = length of opposite/length of hypotenuse = 24/25

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Use the Quotient Property to Simplify Square Roots Number 129

Inessa05 [86]

Using the quotient property we would have

$\begin{gathered} \sqrt{\frac{75r^9}{8^8}}=\frac{\sqrt{75r^9}}{\sqrt{8^8}} \\ \end{gathered}$

This follows the rule

$\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$

From the simplified expression as shown above

$\frac{\sqrt{75r^9}}{\sqrt{8^8}}=\frac{\sqrt{3\times25\times r^9}}{\sqrt{(2^3)^8}}$

Thus;

$\frac{\sqrt{3\times25r^9}}{\sqrt{(2^3)^8}}=\frac{\sqrt{25}\times\sqrt{3}\times\sqrt{r^9}}{\sqrt{2^{^3\times8}}}=\frac{5\sqrt{3r^9}}{\sqrt{2^{24}}}$

Therefore

$\begin{gathered} Using\text{ fraction index law we could simplify the denominator} \\ \frac{5\sqrt{3r^9}}{2^{\frac{24}{2}}}=\frac{5\sqrt{3r^9}}{2^{12}} \end{gathered}$

We can not simplify the 3 and the r raised to power of 9 as their power is not even, hence the final answer is given below

$\frac{5\sqrt{3r^9}}{2^{12}}=\frac{5\sqrt{3r^9}}{4096}$

The final answer is :

$\frac{5\sqrt{3r^9}}{4096}$

8 0

1 year ago

Please anwer need help :)

kvasek [131]

Answer: 45-64

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the answer to 4x-2=22-8x

mariarad [96]

Answer:

x=2

Step-by-step explanation:

12x - 24 = 12 • (x - 2)

12 = 0

x-2 = 0

x=2

8 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B14%7D%20%7D%7B%5Csqrt%7B2%5C%5C%7D%20%7D" id="TexFormula1" title="\frac{\s

Anit [1.1K]

Answer:

$\sqrt{7}$

Step-by-step explanation:

$\sqrt{7}$ is the answer to almost anyway that you can solve this problem.

Multiply the numerator and denominator by the conjugate.

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3 years ago

The sponsors of the marching band provided 128 sandwiches for a picnic. After the picnic, s sandwich’s are left.

ser-zykov [4K]

A. 128-x=s ( x would be the sandwiches handed out and since we dont have a value we cant know exactly what the value is)

B . 128-x=15 so this means there were 113 sandwiches handed out
(subtract 15 from 128 and you get the value of sandwiches handed out)
Make sense? Hope i helped :)

7 0

3 years ago

Cos B =tan B =sin B =​

Cos B =tan B =sin B =