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bixtya [17]
3 years ago
5

If sin theta = cos theta then find the value of theta

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Step-by-step explanation:

\because \sin  \theta =  \cos  \theta  \\   \\ \therefore \: \sin  \theta =  \sin(90 \degree -   \theta)  \\   \\ \therefore \:  \theta =  90 \degree -   \theta \\   \\ \therefore \:   \theta + \theta=  90 \degree \\  \\ \therefore \:  2\theta =  90 \degree \\  \\\therefore \:  \theta =   \frac{90 \degree }{2} \\  \\ \huge \orange{\boxed{\therefore \:   \theta =   45 \degree}}\\  \\

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2.the solution set of x +y =5 and x-y =3
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Answer:

Check the solution below

Step-by-step explanation:

2) Given the equation

x +y =5... 1 and

x-y =3 ... 2

Add both equations

x+x = 5+3

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x = 8/2

x = 4

Substitute x = 4 into 1:

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3) Given

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Substitute into 2

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4) given

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(3x+2y)/6 = 0

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Substutute

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5) Given

5.x=1/2 and y =x +1 then solution is

We already know the vkue of x

Get y

y= x+1

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Hence the solution set is (1/2, 3/2)

6) Given

3x +y =5 and x -3y =5

From 3; x = 5+3y

Substitute into 1;

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Get x;

x = 5+3y

x = 5+3(-1)

x = 5-3

x = 2

Hence two solution set is (2,-1)

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