Tan Ratio Math

Here are the formulas for these six trig ratios.

Tan ratio math. The tangentof an angle is always the ratioof the opposite side adjacent side. Let s start by finding all 6 ratios for angle a. Given a triangle you should be able to identify all 6 ratios for all the angles except the right angle. Tangent calculator the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Sine cosine and tangent. Divide the length of one side by another side. Sine cosine and tangent often shortened to sin cos and tan are each a ratio of sides of a right angled triangle. Cos 180 1 smallestvalue that cosine can ever have the tangent ratio.

For a given angle θ each ratio stays the same no matter how big or small the triangle is. For any right triangle there are six trig ratios. Trigonometry is a branch of mathematics. Tangent angle frac text opposite side text adjacent side.

The word tangent may sound fancy to you yet it is just a ratio. As the name suggests trigonometry deals mostly with angles and triangles. Tan 405 tan 45 2 180 tan 45 1 graph of the tangent function the graph of tangent is periodic meaning that it repeats itself indefinitely. Think of it as a ratio.

In short we can use the symbol tan instead of tangent and write tan 45 degrees 1. This website uses cookies to improve your experience analyze traffic and display ads. Use sochcahtoa to help remember the ratios. For the angle of 30 degrees tan 30 degrees 0 57.

In particular it s defining and using the relationships and ratios between angles and sides in triangles. The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta. The word itself comes from the greek trigōnon which means triangle and metron measure. It is very commonly abbreviated as tan.

Find the sine cosine and tangent of r. Free online tangent calculator.