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3 years ago

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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The graph shows the proportions of blue paint and yellow paint that Briana mixes to make green paint. What is the slope of the l

kotegsom [21]

Answer:

Slope = ⅚

Step-by-step explanation:

Using the coordinates of two points in the graph, say (0, 0) and (6, 5).

$\frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 0}{6 - 0} = \frac{5}{6}$

The slope of the graph is ⅚.

The slope represents the ratio of proportion of yellow paint to blue paint that must be mixed together to produce green paint.

This means, to make green paint, for every 5 parts of yellow paint, 6 parts of blue paint is required to be added as a mixture.

6 0

3 years ago

PLS HELP ME THIS IS HARD SOMEONE ANYONE I BEG PLS HELP WALLAHI THIS IS HARD

Ivanshal [37]

9514 1404 393

Answer:

Step-by-step explanation:

Any of the image segments is perpendicular to the corresponding pre-image segment, so rotation is 90°. There is no reflection or rotation of 180° involved (eliminates choices A and D.

Points A and D that started in the 2nd quadrant are in the 3rd quadrant after the transformation. This tells you the rotation is CCW, not CW. (eliminates choice B) Even before you figure what translation is involved, the only reasonable choice is C: translation left 4 and rotation 90° CCW.

6 0

3 years ago

What are some rational numbers

Radda [10]

Answer: 1,2,3,4,5,6,7,8,9,

Step-by-step explanation: all numbers that can be expressed as the quotient or fraction

hope this helps please mark brainliest if it did

5 0

3 years ago

-2 7.1 and 5 2/3 least to greatest

grin007 [14]

-2, 2/3, 5, 7.1
hope this helps

4 0

3 years ago

Find the height of a square pyramid that has a volume of 84 cubic feet and a base length of 6 feet v=1/3b(2)h

Serga [27]

Answer:

<h3>The height of the pyramid is 7 feet</h3>

Step-by-step explanation:

Let h represent the height of the pyramid

Volume of a pyramid is given by

$V = \frac{1}{3} \times area \: of \: base \: \times height$

Volume of pyramid = 84ft³

To find the height of the pyramid we must first find the area of the base

Since it's a square pyramid it's base is a square

Area of a square = l²

where l is the length of one side

l = 6feet

Area = 6² = 36ft²

So we have

$84 = \frac{1}{3} \times 36 \times h$

84 = 12h

Divide both sides by 12

The height of the pyramid is 7 feet

Hope this helps you

5 0

3 years ago