Mathematics: find the approximate values of the trigonometric functions of θ given the following information. enter the values correct to 2 decimal places. θ is in standard position the terminal side of θ is in quadrant iii the terminal side is parallel to the line 2y - 5x + 16 = 0 sin θ = cos θ = tan θ = cot θ = sec θ = csc θ =

find the approximate values of the trigonometric

Ответ:

Jaylen52709

14.03.2022

Step-by-step explanation:

slope of any line is same as the tan θ . so we first try to find the slope of the given line and then using that we can find remaining trigonometric functions .

To find the slope of a line we need to change the equation of line to slope intercept form .

2y - 5x +16 =0

move all terms to right

2y = 5x - 16

divide all by 2

y = 5/2 x - 8

compare this with y =mx+b

slope = m = 5/2

It means

tan θ = 5/2 = 2.5

tan θ = 2.50

now use the trigonometric ratios (see the image attached )

sin θ = $\frac{y}{z} = \frac{5}{\sqrt{29} } = 0.93$

cos θ = $\frac{x}{z} = \frac{2}{\sqrt{29} } = 0.37$

tan θ = 2.50

cot θ = $\frac{x}{y} = \frac{2}{5 } = 0.40$

sec θ = $\frac{z}{y} = \frac{\sqrt{29}{5} } = 1.08$

csc θ = $\frac{z}{y} = \frac{\sqrt{29}{2} } = 2.69$

find the approximate values of the trigonometric functions of θ given the following information. ent

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Ответ:

milkshakegrande101

16.07.2021

Mathematics

( 3p + 10 q)

Step-by-step explanation:

9 p ² - l00 q ²

(3p)² - ( 10 q) ²

( a ² - b ² = ( a + b) ( a - b) )

( 3p - 10 q) ( 3 p + 10 q)

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