Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem, and then find the values of the six trigonometric functions for angle B. Rationalize denominators when applicable.

b = 8, c = 11

Question

Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem, and then find the values of the six trigonometric functions for angle B. Rationalize denominators when applicable.

b = 8, c = 11

xkehaulanix · Answer

For clarification, does the problem specify which sides b and c are? The length of the unknown side depends on whether it is a leg of the triangle or not.

anonymous · Answer

it states that b is 8 and c is 11 and that C is on the right angle of the triangle which means that c is the hypotenuse.

xkehaulanix · Answer

Okay, so the Pythagorean theorem states that $$a^2+b^2=c^2$$
If you rearrange it to find a, it would become $$a=\sqrt[2]{c^2-b^2}$$

xkehaulanix · Answer

I'm going to guess that your triangle looks something like this, if that was how c was assigned:
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The trigonometric functions are sin, cos, tan, csc, sec, and cot.