Question

Guys,Exam in 2 hours, please help me with the 15th question

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

sin(x) = 0.30 and cos(x) = 0.95 or -0.95 are the answers.

Explanation:

cos^2(x) = 3 sin(x)

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But, we know that cos^2(x)+ sin^2(x) = 1

i.e. cos^2(x) = 1- sin^2(x)

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Hence, on comparing these 2 equations, we get,

3 sin(x) = 1 - sin^2(x)

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Just for the sake of simplicity, assume sin(x) = y.

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Thus, 3y= 1 - y^2

so, y^2 + 3y - 1 =0

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This is a quadratic euqation. On solving it, we get,

y = [-3 +- squareroot(13)] /2.

y = 0.30 or -3.30.

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Therefore, y = sin(x) = 0.30 or -3.30.

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However, the value of sin(x) lies always between -1 and +1. Hence, -3.30 is a wrong answer.

So, sin(x) = 0.30

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Now, we can also calculate the value of cos(x).

cos^2(x) = 3 sin(x) = 3x0.30 = 0.90

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Thus, cos(x) = squareroot(0.90)

cos(x) = 0.95 or -0.95