The even-odd identities relate the value of a trigonometric function at a given angle to the value of the function at the opposite angle. tan θ cos θ = (sin The secant function is the reciprocal of the cosine function. In Figure 5.4.1, the secant of angle t is equal to 1 cost = 1 x, x ≠ 0. The secant function is abbreviated as sec. The cotangent function is the reciprocal of the tangent function. In Figure 5.4.1, the cotangent of angle t is equal to cost sint = x y, y ≠ 0. For a unit circle, which has a radius equal to 1, we can derive the tangent values of all the degrees. With the help of a unit circle drawn on the XY plane, we can find out all the trigonometric ratios and values. In the above figure, sin 180° = 0 and cos 180° = -1. Now, tan 180° = sin 180°/cos 180° = 0/(-1) = 0 Example 1: Find the value of sin θ if tan θ = 4/3 and cos θ = 6/10. Solution: Given, tan θ = 4/3 and cos θ = 6/10 we know that, tan θ = sin θ/cos θ 4/3 = sin θ/(6/10) sin θ = (4/3)×(6/10) sin θ = 8/10. Example 2: In a right-angled triangle PQR, right-angled at Q, the hypotenuse is PR = 13 cm, the base is QR = 5 cm and the The values of sine, cosine, tangent, and cotangent can be found using the trigonometric unit circle, which is an excellent source of information about the trigonometric functions. Graphs and properties of trig functions. Inverse trig functions. Trig Functions of Special Angles. sine 0, sine 30, sine 60, sine 90, cosine 0, cosine 30, cosine 60 AZ7xO.

cos tan sin values