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3 years ago

Find tan if sin= 21/35. 37 points

Mathematics

2 answers:

atroni [7]3 years ago

4 0

0.75 that is your answer

LekaFEV [45]3 years ago

3 0

Answer:

tan=0.75

Step-by-step explanation:

We know sin=opp/hyp, so 21 is the opposite side length in relation to theta.

To figure out tan, we need to know what the adjacent angle is because tan=opp/adj

21 squared= 441

35 squared =1225

1225-441= 784

The square root of 784 = 28

Now that we know both the opp and adj sides, we can solve for tan.

21/28= 0.75

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Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

4 0

2 years ago

Please answer and put how

muminat

6 + m/4 = 3 (subtract 6 from both sides)
m/4 = -3 (multiply both sides by 4)
m = -12

Can plug in to original equation to check work:
6 - 12/4 = 3
6 - 3 = 3
3 = 3

The answer m = -12 checks out

3 0

2 years ago

Read 2 more answers

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Alenkasestr [34]

Answer:

5/4

Step-by-step explanation:

4y = 5x Divide by 4

y = (5/4) x

To make y = kx from y = (5/4) x

k must be (5/4)

k = 5/4

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2 years ago

The number 6231 is divisible by 3.

Oliga [24]

Answer:

true

Step-by-step explanation:

The answer would be 2,077

6 0

2 years ago

ms. eskew's class had a class average of 77 % on their math test. how would this be written as a ratio? a. 23:100 b. 77:100 c. 5

valina [46]

Writing in percentages is actually writing a fraction with 100 on its denominator.
By doing so, we can easily compare data.
For example 1/2 may be written as 50/100 and it is denoted by 50%.

So, in your question, 77% means 77/100.
Since fractions represent ratios, writing in ratio form, we get 77:100. The answer is (b)77:100

3 0

2 years ago

Find tan if sin= 21/35. 37 points ​

Find tan if sin= 21/35. 37 points