In a right triangle, if cos x = 1/2, then what is tan x?

Mathematics

1 answer:

Masteriza [31]2 years ago

4 0

The value of tan x when cos x= 1/2 is; √3

<h3>Right-angled triangles</h3>

From Trigonometric identities of right Triangles;

It follows that;

cos x = adj/hyp

Hence, the opposite of angle X is;

Opp = √(2²-1²)

Opp = √3.

Hence, it follows that tan x;

tan x = opp/adj = √3/1

Hence, the value of tan x = √3.

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Read 2 more answers

Part 1 state the domain and range of the given relation.

hram777 [196]

A relation is any set of ordered pairs, which can be thought of as (input, output).

A function is a relation in which NO two ordered pairs have the same first component and different second components.

The set of first components (x-coordinates) in the ordered pairs is the DOMAIN of the relation.

The set of second components (y-coordinates) is the RANGE of the relation.

Part 1:
Domain: {-1, 1, 3, 6}
Range: {2, 2, 2, 2}

Part 2:
To determine whether the given relation represents a function, look at the given relation and ask yourself, “Does every first element (or input) correspond with EXACTLY ONE second element (or output)?”

Remember that a function can only take on 1 output for each input.

It helps to plot the points on the graph and perform the Vertical Line Test (VLT):

The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

As you can see in the attached screenshot, every vertical line drawn only has 1 point in it. This means that each x-value corresponds to exactly one y-value. The given relation passed the VLT. Therefore, the relation is a function.

Please mark my answers as the Brainliest if you find my explanation helpful :)