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2 years ago

Evaluate the expression cos(30°)=

Mathematics

2 answers:

Ganezh [65]2 years ago

7 0

Step-by-step explanation:

cos 30° is √3 /2

Also refer to the image attached

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alina1380 [7]2 years ago

3 0

Answer:

$cos (30) =\sqrt{\frac{3}{2} } =0.8660$

Step-by-step explanation:

By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.

cos(30°) = √1 – sin230°

The value of sin30° is 1/2 (Trigonometric Ratios)

cos(30°) = √1 – (1/2)2

cos(30°) = √1 – (1/4)

cos(30°) = √(1 * 4 – 1)/4

cos(30°) = √(4 – 1)/4

cos(30°) = √3/4

Therefore, cos(30°) = √3/2

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Step-by-step explanation:

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Could you please answer this precisely. Thank you!

OleMash [197]

The mathematical functions (equations) are matched to their graph line respectively as follows:

y = 960 - 78x: purple straight line.
y = 8·3^x: violet line curve that slopes to the left.
y = 960·(1/2)^x: green line curve that slopes to the right.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate. Mathematically, a linear function is given by this equation:

y = mx ± c.

<h3>What is an exponential function?</h3>

An exponential function can be defined as a type of mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:

f(x) = keˣ

Next, we would match each of the mathematical functions (equations) to their graph line respectively as follows:

y = 960 - 78x: purple straight line.
y = 8·3^x: violet line curve that slopes to the left.
y = 960·(1/2)^x: green line curve that slopes to the right.

Read more on graphs here: brainly.com/question/24298987

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