What is trigonometry?
2 answers:
Trigonometry is greek for <em>triangle measurement</em>.
Three of the most basic ideas in trigonometry are the <em>sine</em>, <em>cosine</em>, and <em>tangent ratios</em>. The sine, cosine, and tangent ratios can be defined as follows.
I have attached right triangle ABC in the image attached.
In right triangle ABC, the sine of angle A is equal to the ratio of the length of the side opposite angle A to the length of the hypotenuse. So in right triangle ABC, the sine of angle A equals y over z. The abbreviation we use for sine is <u>sin</u>.
Next, the cosine of angle A is equal to the ratio of the length of the side adjacent to angle A to the length of the hypotenuse. So in right triangle ABC, the cosine of angle A equals x over z. The abbreviation we use for cosine is <u>cos</u>.
Finally, the tangent of angle A is equal to the ratio of the length of the side opposite angle A to the length of the side adjacent to angle A. So in right triangle ABC, the tangent of angle A equals y over x. The abbreviation we use for tangent is <u>tan</u>.
An easy way to remember the sine, cosine, and tangent ratios is to use the word SOH-CAH-TOA.
<em>Sine is opposite over hypotenuse, cosine is adjacent over hypotenuse, and tangent is opposite over adjacent.</em>
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Answer: y = 2x + 6
Step-by-step explanation:
Here the equation of line,
y = 2x + 1
y-intercept of the line is, (0, 1)
And, the slope of the line is 2.
Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),
Then transformed point are get by,
Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),
Thus, the point of the new line is (0,6)
And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)
Thus, the equation of new line,
(y - 6) = 2 (x - 0)
y - 6 = 2x
y = 2x + 6
