Trigonometric Values of Standard Angles. The following table gives the values of trigonometric ratios for standard angles. Degrees Radians Sine Cosine Tangent 0° 0 0 1 0 30° π 6 12 3√ 2 3√ 3 45° π 4 2√ 2 2√ 2 1 60° π 3 3√ 2 12 3√ 90° π 2 1 0 undefined 180° π 0 −1 0 270° 3π 2 −1 0 undefined 360° 2π 0 1 0 Degrees 0
Letting the positive x -axis be the initial side of an angle, you can use the coordinates of the point where the terminal side intersects with the circle to determine the trig functions. The figure shows a circle with a radius of r that has an angle drawn in standard position. The equation of a circle is x2 + y2 = r2.
Transcript. Sin, Cos, Tan – SOH CAH TOA In right triangle ABC sin = Side opposite to angle theta / Hypotenuse cos = Side adjacent to angle theta / Hypotenuse tan = Side opposite to angle theta / Side adjacent to angle theta For cot, sec & cosec cosec = 1/ sin sec = 1/cos cot = 1/tan Example Find value of sin, cos, tan, cosec, cot, sec Given a triangle with sides 3, 4, 5 Here, Opposite side
The exact values for sin and cos 0, 30, 45, 60 and 90. Maths revision video and notes on the topic of Exact Values of the Trigonometric Ratios of Sine, Cosine and Tangent (0, 30, 45, 60, 90).
Key Concepts. The sine and cosine of an angle have the same absolute value as the sine and cosine of its reference angle. The signs of the sine and cosine are determined from the x– and y-values in the quadrant of the original angle.
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cos tan sin values
