Step 1: Divide the equation 1 by (AC) 2 we get, Step 3: Now, sin θ =Perpendicular/ Hypotenuse= (AC) /(AB)ġ= sin 2θ + cos 2θ Trigonometric Identity 2 (AB) 2= (AC) 2+ (BC) 2 let be equation (1)ĭividing equation 1 by square of AB on both the sides,
Step 1: Consider a right angle triangle ABC, let angle C be of 90. (Hypotenuse) 2= (Base) 2 + (Perpendicular) 2 Trigonometric Relations Reciprocal RelationshipĪs the name suggests, these relations involve two trigonometric ratios which are connected by inverse relations between them. You can download Trigonometry Cheat Sheet by clicking on the download button belowīrowse more Topics under Introduction To Trigonometry Any trigonometric identity dealing with any variable of a right angle triangle will be satisfied by any value within an acceptable range of that variable. The equations can be seen as facts written in a mathematical form, that is true for “ right angle triangle”. The same applies to trigonometric identities also. For example (x+1) 2=x 2+2x+1 is an identity in x. In algebraic form, an identity in x is satisfied by some particular value of x.