Prove the following trigonometric identities:

Mathematics

1 answer:

pishuonlain [190]3 years ago

6 0

Convert everything to terms of sine and cosine:

$\dfrac{\sec\theta}{\tan\theta}=\dfrac{\frac1{\cos\theta}}{\frac{\sin\theta}{\cos\theta}}$

The factors of $\dfrac1{\cos\theta}$ cancel to give

$\dfrac1{\sin\theta}=\csc\theta$

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15/2g-7=3/5 what is g

7nadin3 [17]

$\frac{15}{2} g - 7 = \frac{3}{5} \\ \\ \\ 1. \: \frac{15g}{2} - 7 = \frac{3}{5} \\ 2. \: \frac{15g}{2} = \frac{3}{5} + 7 \\ 3. \: \frac{15g}{2} = \frac{38}{5} \\ 4. \: 15g = \frac{38}{5} \times 2 \\ 5. \: 15g = \frac{76}{5} \\ 6. \: g = \frac{ \frac{76}{5} }{15} \\ 7. \: g = \frac{76}{5 \times 15} \\ 8. \: g = \frac{76}{75}$

4 0

3 years ago

Help plzzzz.................

insens350 [35]

Answer:

a = 6, b = - 12

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms to those on the right side.

a(4x - 10) ← distribute parenthesis

= 4ax - 10a

Compare to 24x + 5b , then

4a = 24 ( divide both sides by 4 )

a = 6

Then

5b = - 10a = - 10(6) = - 60 ( divide both sides by 5 )

b = - 12

7 0

2 years ago

Red, green, and white jellybeans are combined in a ratio of 5:4:3, respectively. What is the ratio of green jelly beans to the t

Rainbow [258]

We have been given that red, green, and white jellybeans are combined in a ratio of 5:4:3 respectively. We are asked to find out the ratio of green jelly beans to the total number of jelly beans.

In order to find out the ratio of green jelly beans to the total number of jelly beans we have to find out the total number of jelly beans.

$\text{Total number of jelly beans}=5+4+3=12$