Mathematics: Suppose that tand cos t =q. express the values ofthe five trigonometric functions at t in terms of q.

Suppose that tand cos t =q. express the values

Ответ:

noelia2001guzman

14.01.2022

Mathematics

Five trigonometric functions.

Step-by-step explanation:

We are given the following information in the question:

$\cos t = q$

We have to find the values of the five trigonometric functions at t in terms of q.

$\sin^2 t + \cos^2 t = 1\\\sin^2 t + q^2 = 1\\\sin^2 t = 1-q^2\\\sin t = \sqrt{1-q^2}$

$\csc t = \displaystyle\frac{1}{\sin t} = \frac{1}{\sqrt{1-q^2}}\\\\\sec t = \frac{1}{\cos t} = \frac{1}{q}\\\\\tan t = \frac{\sin t}{\cos t} = \frac{\sqrt{1-q^2}}{q}\\\\\cot t = \frac{1}{\tan t} = \frac{q}{\sqrt{1-q^2}}$

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Ответ:

elijah1090

11.07.2020

Mathematics

Equation in standard form to model the linear situation is :

1750x + y = 16000

Step-by-step explanation:

Volume of water in container = 16,000 gal

Volume of water in container after 2 hours = 12,500 gal

Consider time when container was filled with 16,000 gallons of water be 0 hour.

T(Hour) Volume of water left

0 16,000 gal

2 12,500 gal

(x_1,y_1)=(0, 16000)

(x_2,y_2)=(2, 12500)

Now , we have two coordinates , from which we can easily determine the equation of this situation:

$(y-y_1)=\frac{y_2-y_1}{x_2-x_1}\times (x-x_1)$

$(y-16000)=\frac{12500-16000}{2-0}\times (x-0)$

$y-16000=(-1750)\times (x)$

y-16000=-1750x

Equation in standard form to model the linear situation is : (Ax+By=C)

1750x+y=16000

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Suppose that tand cos t =q. express the values ofthe five trigonometric
functions at t in terms of q.

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