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kotykmax [81]
3 years ago
12

Question 12 please Tan(a)/ Sec(a)-cos(a)

Mathematics
1 answer:
stepladder [879]3 years ago
4 0

Answer:

Step-by-step explanation:

\frac{tan ~\alpha }{sec~\alpha -cos~\alpha } \\=\frac{\frac{sin~\alpha }{cos~\alpha } }{\frac{1}{cos~\alpha } -cos~\alpha } \\multiply~numerator~and~denominator~by~cos~\alpha \\=\frac{sin~\alpha }{1-cos^2~\alpha }=\frac{sin~\alpha }{sin ^2~\alpha } \\=\frac{1}{sin~\alpha } \\=cosec~\alpha

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To the nearest tenth of a degree, find the sizes of the acute angles in the 5-12-13 triangle and in the 9-12-15 triangle. This e
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Answer:

Step-by-step explanation:

A triangle whose sides are 5-12-13 is a right angle triangle because the sides form a Pythagoras triple. This means that

Hypotenuse² = opposite side² + adjacent side²

If hypotenuse = 13,

Opposite side = 12, then we can determine one acute angle by applying the sine trigonometric ratio

Sin θ = opposite side/adjacent side

Sin θ = 12/13 = 0.923

θ = Sin^-1(0.923) = 67.4°

The other acute angle is

90 - 67.4 = 22.6°

For 9-12-15 triangle

Sin θ = 12/15 = 0.8

θ = Sin^-1(0.8) = 53.1°

The other acute angle is

90 - 53.1 = 36.9°

For 13- 14-15 triangle,

Sin θ = 14/15 = 0.933

θ = Sin^-1(0.933) = 68.9°

The other acute angle is

90 - 68.9 = 21.1°

Another example would be 3-4-5

Sin θ = 4/5 = 0.933

θ = Sin^-1(0.8) = 53.1°

The other acute angle is

90 - 53.1 = 36.9°

3 0
3 years ago
In what ways does algebra act as a tool to improve communication? How does algebra affect how people can learn from each other?
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10(x+1) = 56 - 2(x-1) what’s the equation
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Answer:x=4

Step-by-step explanation:

To solve

10(x+1)=56-2(x-1)

Open the brackets

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Divide through by 12

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3 years ago
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Answer:

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In the statement in the question, the arguer claims the U.S senator Elizabeth Warren is making an argument because she has a mind of scratching up the campaign contribution from consumers

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Find the surface area of the cylinder.
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