3 years ago

Q6 Q19.) Write the expression as the sine, cosine, or tangent of an angle. Then find the exact value of the expression.

Mathematics

1 answer:

Greeley [361]3 years ago

3 0

Using sin(A+B) = sinAcosB + cosAsinB

sin20cos40 + cos20sin40 = sin(20+40) = sin60degree

= $\frac{ \sqrt{3}}{ 2}$

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Prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero. Steps Reasons 1.

harkovskaia [24]

Answer:

$\dfrac{ad+bc}{bd}$

Step-by-step explanation:

Let $\frac{a}{b}$ and $\frac{c}{d}$ be two rational numbers, where b and d are not zero and a, b, c and d are integers.

1. Given:

$\dfrac{a}{b}+\dfrac{c}{d}$

2. Multiply to get a common denominator :

$\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad}{bd}+\dfrac{cb}{db}$

3. Simplify:

$\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad}{bd}+\dfrac{cb}{db}=\dfrac{ad+bc}{bd}$

4. Since $b\neq 0,\ d\neq 0,$ then $bd\neq 0.$

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$\dfrac{ad+bc}{bd}$

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Q6 Q19.) Write the expression as the​ sine, cosine, or tangent of an angle. Then find the exact value of the expression.

Q6 Q19.) Write the expression as the sine, cosine, or tangent of an angle. Then find the exact value of the expression.