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Darina [25.2K]
4 years ago
15

Simplify sin θ/cosθ tan θ to a number or a single trigonometric function

Mathematics
1 answer:
Kruka [31]4 years ago
6 0

Answer:

The answer is below

Step-by-step explanation:

Trigonometric functions are functions used in right angled triangles to relate an angle in the triangle to the ratio of two side. The most common trigonometric functions are the sine, the cosine, and the tangent.

Some trigonometric identities are:

secθ = 1/ cosθ, cosecθ = 1 / sinθ, tanθ = sinθ / cosθ, cotθ = 1 / tanθ = cosθ / sinθ.

Hence simplifying the question:

\frac{sin\theta}{cos\theta tan\theta} =\frac{sin\theta}{cos\theta *\frac{sin\theta}{cos\theta} }\\\\=\frac{sin\theta}{sin\theta}\\\\=1

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Solve by substitution
goldenfox [79]
Ok here it is:
4x-5y=40
2x+10y=20
I used the second equation and decided to get x
2x+10y=20
Subtract 10y from both sides.
2x=-10y+20
Divide both sides by 2
x=-5y+10
Put that in for x for first equation
4(-5y+10)-5y=40
Distribute the 4
-20y+40 -5y =40
Combine like terms
-25y+40=40
Subtract 40 from both sides
-25y=0
Divide by -25 on both sides
y=0
Substitute the y in for the 2nd equation
2x+10(0)=20
2x=20
Divide both sides by 2
x=10
So x=10 and y=0
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Answer: I would think

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Step-by-step explanation:

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Step-by-step explanation:

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Shyla had a balance of −$255.25 in her account, and Susan had a balance of −$178.75 in her account. Which statement explains why
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It is given that, Shyla had a balance of −$255.25 in her account, and Susan had a balance of −$178.75 in her account.

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