# Trigonometric Ratios (100% Free Trigonometry Worksheet)

Trigonometry is the science of mathematics that studies angles, sides, and the ratio between angles to sides. Basically using a triangle shape. This is because of the meaning of the word trigonometry itself which in Greek means the measurements in the angle of three or triangles.

- Type and Transpose Matrix
- Geometry Transformation
- Trigonometric Comparison in Triangles

A triangle with one corner of:

- The side AB is the hypotenuse of the triangle
- The side BC is the front side of the corner
- The AC side is the corner side

Here we will get to know new mathematical terms, namely sine (sin), cosine (cos), tangent (tan), cosecan (CSC), secant (sec), and cotangent (cot), where sine is the opposite of cosecan, cosine is inverse of secant and tangent to the opposite of cotangent. Sine, Cosine, and Tangent are used to calculate the angle with the trigonometric ratio of the sides in the triangle.

## In Quadrant

The angle in a circle has a range of 0 ° – 360 °, the angle is divided into 4 quadrants, with each quadrant having a range of 90 °.

- Quadrant 1 has an angle range from 0 ° – 90 ° with positive sine, cosine, and tangent values.
- It has an angular range from 90 ° – 180 ° with a value of cosine and negative tangent, positive sine.
- 3 has an angular range from 180 ° – 270 ° with negative sine and cosine values, positive tangent.
- Quadrant 4 has an angle range from 270 ° – 360 ° with negative sine and tangent values, positive cosines.

## Angle Measurement

In the worksheet, the trigonometry ratio for measuring angles is an important aspect of measuring and mapping outlines and detail points. The angle measurement system used also differs from one another. The system for measuring and mapping angles can consist of:

- Sexagesimal Angle Magnitude System
- Centisimal Angle Magnitude System
- Radian Angle Fault System

The basis for measuring the angular magnitude is like a circle divided into four parts, which are called quadrants, namely Kudran I, II, III and quadrant IV. For the sexagesimal way, the circle can be divided into 360 equal parts and each part is called a degree. So 1 quadrant in the circle = 900. 1o = 60 ‘1’ = 60 “1o = 3600”

## The Concept of Special Angle 0 ° Trigonometry

The concept of the trigonometric ratio worksheet is to make one of the angles θ equal to 0 ° on a right triangle. So that it will make the triangle into a straight line. The selection of side lengths in an equilateral triangle is made as simple as possible, which is a value of 2. The choice of number 2 is also because when an equilateral triangle is divided in half to form a right triangle, the length of one side is a number round 1. So that we can refer to an angle of 30 °, with the side length known to be √3 by means of the Pythagorean theorem.

## Correlated Angle Trigonometric Comparison

The related angle trigonometry worksheet comparison is an extension of the basic trig value determined from the angle of the right triangle. The angle of a right triangle is only in quadrant I because it is an acute angle whose size is 0 ° – 90 °. The center angle of the circle is between 0 ° – 360 °. The angle is divided into 4 quadrants, each quadrant has a range of 90 °.

- Quadrant 1 has an angle that is between 0 ° – 90 °. All trigonometric ratio values are positive in this quadrant.
- Quadrant 2 has an angle of between 90 ° – 180 °. In this quadrant, only the sine and cosecant values are positive.
- Quadrant 3 has an angle of between 180 ° – 270 °. In this quadrant, only tangents and cotangents are positive.
- Quadrant 4 has an angle that is between 270 ° – 360 °. In this quadrant, only the cosine and secant are positive.