Trigonometric Equations - High School Math

Card 0 of 5

Question

In a right triangle, if

and

then what does equal?

Answer

One can draw a right triangle with acute angles and . The side adjacent to is 4, and the side adjacent to is 3.

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Question

If , find the value of the function .

Answer

We can write:

We can also write:

Now we can substitute the values of (sinx - cosx) and (sinx * cosx) in the obtained function:

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Question

If , find .

Answer

First we need to simplify each term:

So we will have:

Since we have the value of , we can divide the numerator and denominator by .

We can then substitute the value of in the obtained function.

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Question

A right triangle has an angle of . If the side opposite it has a length of , what is the hypotenuse?

Answer

For this problem we will use the sine function as .

Plug in our given information:

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Question

A right triangle has an angle of . If the side adjacent to it has a length of , what is the hypotenuse?

Answer

For this problem we will use the cosine function as .

Plug in our given information:

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