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dmitriy555 [2]
3 years ago
15

Use special right triangles to find the exact value (no decimals).

Mathematics
1 answer:
fgiga [73]3 years ago
5 0

Let’s find some exact values using some well-known triangles. Then we’ll use these exact values to answer the above challenges.

sin 45<span>°: </span>You may recall that an isosceles right triangle with sides of 1 and with hypotenuse of square root of 2 will give you the sine of 45 degrees as half the square root of 2.

sin 30° and sin 60<span>°: </span>An equilateral triangle has all angles measuring  60 degrees and all three sides are equal.  For convenience, we choose each side to be length 2.  When you bisect an angle, you get 30 degrees and the side opposite is 1/2 of 2, which gives you 1.  Using that right triangle, you get exact answers for sine of 30°, and sin 60° which are 1/2 and the square root of 3 over 2 respectively.

Now using the formula for the sine of the sum of 2 angles,

sin(A + B) = sin A cos<span> B</span> + cos A sin B,

we can find the sine of (45° + 30°) to give sine of 75 degrees.

We now find the sine of 36°, by first finding the cos of 36°.

<span>The cosine of 36 degrees can be calculated by using a pentagon.</span>

<span>that is as much as i know about that.</span>

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Find the value of x using trig please .....
iren [92.7K]

Answer:

8.090169944 or rounded 8.1

Step-by-step explanation:

Use SOH CAH TOA

Look at x and where it is and what you have.

First thing is to get an angle to use, 36, then to set up your equation.

___(36)=___

Figure out what you have.

You have the hypotonouse, 10, and need the adjacent,x, so you use the equation that involves H for hypotonouse and A for adjacent.

You set up your equation using COS, as you are using CAH.

Cos(36)=x/10

X is over ten sure to CAH C-cos A-adjacent and H-hypotonouse

Switch it around to make it equal to x

10*Cos(36)=x

You input it into your calculator. [10] [COS] [36] [ENTER] and you get the answer.

Round however is needed.

7 0
2 years ago
18 over 4= I need help I been trying to find out what the answer is please help
Oksana_A [137]
18/4 can be simplified into 9/2 or 4 1/2
5 0
3 years ago
The graph of y = x^2 is translated 1 unit to the right. What is the equation of the new graph?
Burka [1]

Answer: 2

Step-by-step explanation:

If the number was OUTSIDE the exponents it represents a movement up or down

If the number is inside the parenthesis and exponent ex: (x-1)^2 then it decides a movement on the left or right

However inside the parenthesis it is reversed, so a - is move to the right and a + is moved to the left, this making your answer (x-1)^2

- Gage Millar, Algebra 2 Tutor

5 0
2 years ago
You record the type of clothing worn by people you see at a store. Identify the data set as numerical or categorical​
mixas84 [53]

Answer:

categorical data

5 0
2 years ago
Read 2 more answers
Please help me someone !!
adelina 88 [10]

Answer:

6^{\frac{-1}{3}}

Step-by-step explanation:

put them both in exponential form and then since they are both base 6, you can add the exponents.

6^{\frac{1}{6}} *6^{\frac{-3}{6} }

4 0
3 years ago
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