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3 years ago

Write sin(19°) in terms of cosine.

Mathematics

1 answer:

Leto [7]3 years ago

3 0

Answer:

cos(71)

Step-by-step explanation:

Since 19° is less than 90, we can express this in terms of confunction.

sin(θ) = cos(90-θ)

sin(19) = cos(90-19)

sin(19) = cos(71)

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tamaranim1 [39]

$3tan^{2} \theta +7sec\theta=3$
First I converted the equation terms into sine and cosine.
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Substitution:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7}{cos\theta} =3$
Common Denominator Created:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7cos\theta}{cos^2\theta} =3$
Multiply each term by the LCD:
$3sin^2\theta+7cos\theta=3cos^2\theta$
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3 years ago

Sara needs 1/3 of a yard of ribbon to make a bow. She has 10 yards of ribbon. How many bows can she make?

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Oliga [24]

Answer:

x = 77.8 ft

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Trigonometry

sin∅ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

∅ = 40°

opposite leg of angle = 50 ft

hypotenuse = x ft

Step 2: Solve for x

Substitute: sin40° = 50/x
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