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Trig Functions

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How to Compute Reference Angles in Degrees

If you need to compute the measure (in degrees) of the reference angle for any given angle θ, you can use the rules in the following table. [more…]

Assign Negative and Positive Trig Function Values by Quadrant

The first step to finding the trig function value of one of the angles that’s a multiple of 30 or 45 degrees is to find the reference angle in the unit circle. When the reference angle comes out to be [more…]

Domain and Range of Sine and Cosine Functions

The domain of a sine or cosine trigonometry function consists of all the input values that the function can handle — the way the function is defined. Of course, you want to get output values [more…]

Domain and Range of Cosecant and Secant Trigonometry Functions

The domain of a cosecant or secant trig function consists of all the input values that the function can handle — the way the function is defined. Of course, you want to get output values [more…]

Domain and Range of Tangent and Cotangent Trigonometry Functions

The domain of a tangent or cotangent trig function consists of all the input values that the function can handle — the way the function is defined. Of course, you want to get output values [more…]

How to Determine the Altitude of a Balloon

Trigonometry has many applications for finding distances. For example, to find the altitude of a floating object, you can use the angle between one sighting of the object and a second sighting to solve [more…]

The Cosine Function: Adjacent over Hypotenuse

When you’re using right triangles to define trigonometry functions, the trig function cosine, abbreviated cos, has input values that are angle measures and output values that you obtain from the ratio [more…]

How to Find the Trigonometry Function of an Angle in a Unit Circle

You can determine the trig functions for any angles that relate to the unit circle. To do this, you can use the rules for reference angles, the values of the functions of certain acute angles, and the [more…]

How to Determine the Vertical Distance Travelled by a Rocket

Trigonometry functions have plenty of everyday uses. You can use a trigonometry function to determine how far a projectile travels vertically over a certain period of time. [more…]

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