In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined. Geometrically, these are identities involving certain functions of one or more angles.

Basic trig identities are formulas for angle sums, differences, products, and quotients; and they let you find exact values for trig expressions.

In basic trigonometry computes sine, cosine, tangent, and their reciprocal. Calculates arcsin, arccos, and arctan values inside inverse trigonometric equations. Trigonometric identities solves extremely difficult trigonometric problems. Conversions of Angles converts radian to degree scale.

In trigonometry formulas, we will learn all the basic formulas based on trigonometry ratios (sin,cos, tan) and identities as per Class 10, 11 and 12 syllabi. Also, find the downloadable PDF of trigonometric formulas at BYJU'S.

Given Triangle abc, with angles A,B,C; a is opposite to A, b opposite B, c opposite C: a/sin (A) = b/sin (B) = c/sin (C)

Sine Function: sin (θ) = Opposite / Hypotenuse. Cosine Function: cos (θ) = Adjacent / Hypotenuse. Tangent Function: tan (θ) = Opposite / Adjacent. When we divide Sine by Cosine we get: So we can say: That is our first Trigonometric Identity. We can also divide "the other way around" (such as Adjacent/Opposite instead of Opposite/Adjacent) to get:

Sine, cosine and tangent are the primary trigonometry functions whereas cotangent, secant and cosecant are the other three functions. The trigonometric identities are based on all the six trig functions. Check Trigonometry Formulas to get formulas related to trigonometry. What are Trigonometric Identities?

prove\:\frac {\sin (3x)+\sin (7x)} {\cos (3x)-\cos (7x)}=\cot (2x) prove\:\frac {\csc (\theta)+\cot (\theta)} {\tan (\theta)+\sin (\theta)}=\cot (\theta)\csc (\theta)

What is the general solution for sin (x)=1 ?

Answer: The expression 1 / sin x can be simplified as cosec x. Let us proceed step by step. Explanation: In a right-angled triangle, the sine of an angle is the ratio of the length of the perpendicular side to the length of the hypotenuse. The formula of sin x is (length of opposite side / length of hypotenuse side).