Standard angles from the trigonometrical ratios table therefore we can easily find the (adj/hyp) Tangent, tan For an acute angle of a right triangle, the ratio of the side opposite to the angle to the measure of the side adjacent (opp/adj) Algebra Postulates Name Definition Visual Clue Addition Prop. The Law of Cosines is used to find the remaining parts of an oblique (non-right) triangle when either the lengths of two sides and the measure of the. The hypotenuse of a right triangle is always the side opposite the right angle. Cosine, cos For an acute angle of a right triangle the ratio of the side adjacent to the angle to the measure of the hypotenuse. We use special words to describe the sides of right triangles. Since, we know the sin and cos value of the In a right triangle, the hypotenuse is the longest side, an 'opposite' side is the one across from a given angle, and an 'adjacent' side is next to a given angle.

Respectively the positive square roots of 4/4, 3/4, 2/4, 1/4, 0/4 The complementary angle equals the given angle subtracted from a right angle, 90. Similarly cosine of the above standard angels are The cosine of an angle is defined as the sine of the complementary angle. That is because, no matter what calculations we use, we have to eventually show that it is equal to the ratios of the right angle triangle. Positive square roots of 0/4,1/4, 2/4,3/4 and 4/4 More-over, there can be no theoretical approach in general which can avoid geometry when using this Assumption or Definition : Sine & Cosine are the ratios of the right angle triangle. The standard angles 0°, 30°, 45°, 60° and 90° are respectively the If θ be an acute angle, the values of sin θ and cos θ lies between 0 and 1 (both inclusive). (d) write the values of sin 0°, sin 30°, sin 45°, sin 60° and sin 90° in reverse order and get the values of cos 0°, cos 30°, cos 45°, cos 60° and cos 90° respectively. (c) these numbers given the values of sin 0°, sin 30°, sin 45°, sin 60° and sin 90° respectively.

(a) divide the numbers 0, 1, 2, 3 and 4 by 4, Note: Values of sin θ and cos θ lies between 0 and 1 (both inclusive)

Cosine geometry definition