![]() ![]() Inverse trig functions: arcsine, arccosine, and arctangent Whether you use a sine, cosine, or tangent depends on which side and angle you know. For example, if the side a = 15 and the angle A = 41°, we can use a sine and a tangent to find the hypotenuse and the other side. We might only know one side but we also know an angle. Now suppose we know the hypotenuse and one side, but have to find the other. (It’s nice to give examples where the square roots come out whole numbers in life they usually don’t.) The Pythagorean theorem will give us the hypotenuse. Suppose we don’t know the hypotenuse but we do know the other two sides. Let’s first look at some cases where we don’t know all the sides. ![]() We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle, that is, to find unknown parts in terms of known parts. ![]()
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