Trigonometric Identities Pdf
Simplifying a trigonometric identity is useful for solving trigonometric equations with higher radicals.
Trigonometric identities pdf. Although these two functions look quite different from one another they are in fact the same function. Trigonometric identities reciprocal identities sinu 1 cscu cosu 1 secu tanu 1 cotu cotu 1 tanu cscu 1 sinu secu 1 cosu pythagorean identities sin 2u cos u 1 1 tan2 u sec2 u 1 cot2 u csc2 u quotient identities tanu sinu cosu cotu cosu sinu co function identities sin ˇ 2 u cosu cos ˇ 2 u sinu tan ˇ 2 u cotu cot ˇ 2 u. The tangent tan of an angle is the ratio of the sine to the cosine.
Also find the downloadable pdf at byju s. Power reducing formulas are used to reduce the power of the radicals in an expression. Summary of trigonometric identities reciprocal identities sin 1 csc cos 1 sec tan 1 cot csc 1 sin sec 1 cos cot 1 tan quotient identities tan sin cos cot cos sin pythagorean identities 1 sin2 cos2 sec2 tan2 1 csc2 1 cot2 even oddidentities sin sin csc csc cos cos sec sec tan tan cot cot.
Opposite sin hypotenuse q hypotenuse csc opposite q adjacent cos hypotenuse q hypotenuse sec adjacent q opposite tan adjacent q adjacent cot opposite q unit circle definition for this definition q is any. These are sometimes abbreviated sin θ andcos θ respectively where θ is the angle but the parentheses around the angle are often omitted e g sin θ andcos θ. This means that for all values of x this last expression is an identity and identities are one of the topics we will study in this chapter.
Power reducing trig identities. 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. The parentheses around the argument of the functions are often omitted e g sin θ and cos θ if an interpretation is unambiguously possible.
Cos2 x 1 4 sin x 1 2 sin x y cos2 x and y 1 sin4 x 1 sin2 x 795 trigonometric identities and. The functions sine cosine and tangent of an angle are sometimes referred to as the primary or basic trigonometric functions. Their usual abbreviations are sin θ cos θ and tan θ respectively where θ denotes the angle.
Ranges of the trig functions 1 sin 1 1 cos 1 1 tan 1 csc 1 and csc 1 sec 1 and sec 1 1 cot 1 periods of the trig functions the period of a function is the number t such that f t f. Trig cheat sheet definition of the trig functions right triangle definition for this definition we assume that 0 2 p q or 0 q 90. List of trigonometric identities 2 trigonometric functions the primary trigonometric functions are the sine and cosine of an angle.
