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2 years ago

If tan θ=−52 and θis a quadrant II angle, what is cosθ?

Mathematics

1 answer:

marysya [2.9K]2 years ago

7 0

The value of cos theta is -2/√29

<h3>Trigonometry identity</h3>

A trigonometry identity are expressions expressed as cosine, tangent, sine.

Given the expression below

tan θ =−5/2 = opp/adj

Determine the hypotenuse

hyp² =5^2 + 2^2

hyp² = 25 + 4

hyp = √29

Determine the value of cos theta

cos theta= adj/hyp

cos theta= -2/√29

Hence the value of cos theta is -2/√29

Learn more on trigonometry identity here: brainly.com/question/7331447

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3 years ago

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3 years ago

The graph of y = 4x2 - 4x – 1 is shown.

11Alexandr11 [23.1K]

Answer:

i) The approximate solutions are: $x_{1} \approx -0.207$ , $x_{2} \approx 1.207$ .

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Step-by-step explanation:

i) The best approach to estimate graphically the solution of $4\cdot x^{2} - 4\cdot x - 1 = 0$ is graphing the following system of equations:

$y = 4\cdot x^{2}-4\cdot x - 1$ (1)

$y = 0$ (2)

And labeling the points in which both intersects each other. We include the result in the image 'solution-i'. The approximate solutions are: $x_{1} \approx -0.207$ , $x_{2} \approx 1.207$ .

ii) The best approach to estimate graphically the solution of $4\cdot x^{2} - 4\cdot x - 1 = 2$ is graphing the following system of equations:

$y = 4\cdot x^{2}-4\cdot x - 1$ (1)

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And labeling the points in which both intersects each other. We include the result in the image 'solution-ii'. The approximate solutions are: $x_{1}\approx -0.5$ , $x_{2} \approx 1.5$ .

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