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The sine, cosine, and tangent ratios in a right triangle can be remembered by representing them as strings of letters, for instance SOH-CAH-TOA in English: Sine = Opposite ÷ Hypotenuse. Cosine = Adjacent ÷ Hypotenuse. Tangent = Opposite ÷ Adjacent.

Explanation: For sin 45 degrees, the angle 45° lies between 0° and 90° (First Quadrant). Since sine function is positive in the first quadrant, thus sin 45° value = 1/√2 or 0.7071067. . . Since the sine function is a periodic function, we can represent sin 45° as, sin 45 degrees = sin(45° + n × 360°), n ∈ Z.

These six functions and their abbreviations are sine (sin), cosine (cos), tangent (tan), secant (sec), cosecant (csc), and cotangent (cot). The values of these functions for any real number x are denoted by sin x, cos x, etc.

Double Angle Identities sin (2x) = 2sin(x) • cos(x) = [2tan x/(1 + tan2 x)] cos (2x) = cos2(x) – sin2(x) = [(1 – tan2 x)/(1 + tan2 x)] = 2cos2(x) – 1 = 1 – 2sin2(x) tan (2x) = [2tan(x)]/ [1 – tan2(x)] sec (2x) = sec2 x/(2 – sec2 x) cosec (2x) = (sec x • cosec x)/2.

Trigonometry Basics There are three basic functions in trigonometry: sine, cosine, and tangent. These three basic ratios or functions can be used to derive other important trigonometric functions: cotangent, secant, and cosecant. All the important concepts covered under trigonometry are based on these functions.

Year 9 ◆ | Students use the trigonometric ratios for right-angle triangles. Year 9 ◆ | Students apply ratio and scale factors to similar figures and solve problems involving right-angle trigonometry.

7 Easy Steps to Learn Trigonometry Study all the basics of trigonometric angles. Study right-angle triangle concepts. It is a triangle with one angle of 90 degrees. ... Pythagoras theorem. ... Sine rule and Cosine rule. ... List all the important identities of trigonometry. ... Remember the trigonometry table.

Trigonometry is a study of the connection of angles, heights and lengths. It guides in locating the angles and missing sides of a triangle with the help of trigonometric ratios. These angles are measured in either radians or degrees.

The six trigonometric functions are sine, cosine, secant, cosecant, tangent and cotangent.