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skad [1K]
3 years ago
14

Prove that : cos10° - sin10° / sin10° + cos10° = tan35°​

Mathematics
1 answer:
Digiron [165]3 years ago
3 0

Step-by-step explanation:

(cos 10° − sin 10°) / (cos 10° + sin 10°)

Rewrite 10° as 45° − 35°.

(cos(45° − 35°) − sin(45° − 35°)) / (cos(45° − 35°) + sin(45° − 35°))

Use angle difference formulas.

(cos 45° cos 35° + sin 45° sin 35° − sin 45° cos 35° + cos 45° sin 35°) / (cos 45° cos 35° + sin 45° sin 35° + sin 45° cos 35° − cos 45° sin 35°)

sin 45° = cos 45°, so dividing:

(cos 35° + sin 35° − cos 35° + sin 35°) / (cos 35° + sin 35° + cos 35° − sin 35°)

Combining like terms:

(2 sin 35°) / (2 cos 35°)

Dividing:

tan 35°

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3 years ago
Please help me with this question??m
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Answer:

75

Step-by-step explanation:

f(1) = 7

f(n) = 3f(n-1) + 3

So what you are trying to do here is find the recursive value (that's what it is called) for f(n). Computers love this sort of thing, but we humans have to do it slowly and carefully.

So let's try f(2)

That means that f(2) = 3*f(n-1) + 3

but if f(2) is used it means that you have to know f(2-1) which is just f(1) and we know that.

so f(2) = 3*f(1)+3

f(2) = 3*7 + 3

f(2) = 21 + 3

f(2) = 24

Now do it again. We now know F(2), so we should be able to find f(3)

f(3) = 3*f(3 - 1) + 3  

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f(3) = 3* 24 + 3

f(3) = 72 + 3

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7 0
2 years ago
What are the solutions to the equation <br><img src="https://tex.z-dn.net/?f=%20%7Cx%20-%208%7C%20%20%2B%202%20%3D%2020" id="Tex
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Answer:

Solutions are -10 and 26

Step-by-step explanation:

( - the abolute sign I'm using

( x - 8 ) + 2 = 20

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x - 8 = -18 (negative case)

x - 8 + 8 = -18 + 8

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4 years ago
Which of the following groups cannot represent the side lengths of a triangle.
Rom4ik [11]

Answer:

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7 0
2 years ago
Write a linear equation to model the following situation: Frankie has $500 in her savings account at the beginning of the year.
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A linear equation can be represented by: 

y = mx + b 

Where m = slope, and b = y intercept. 

The slope is a rate of change, so our slope is $150. 
The y intercept is the point where the equation crosses the y axis, or the "initial amount" in this case $500. 

So our equation will be: 

y = 150x + 500. 
6 0
3 years ago
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