We learn why graphs of tan, cot, sec and cosec have a periodic gap in them (also known as a discontinuity). We learn how to sketch the graphs.
sec -1 x or (arcsecantx) –∞ ≤ x ≤-1 or 1≤x≤ ∞ 0≤ y≤ π, y ≠π/2 cosec -1 x or (arccosecantx) –∞ ≤ x ≤-1 or 1≤x≤ ∞ -π/2 ≤ y≤ π/2, y≠0 considering the domain and range of the inverse functions , following formulas are important to ...
sec θ = Hypotenuse/Base cosec θ = Hypotenuse/Perpendicular cot θ = Base/PerpendicularAs we can observe from the above-given formulas, sine and cosecant are reciprocals of each other. Similarly, the reciprocal pairs are cosine and secant, and tangent and cotangent.Trigonometric...
(sec), and cotangent (cot) respectively. the formula of each of these functions are given as: sec a = 1/(cos a) = hypotenuse/adjacent = ca/ab cosec a = 1/(sin a) = hypotenuse/opposite = ca/cb cot a = 1/(tan a) = adjacent/opposite = ba/cb note : inverse ...
cot -1 (x), x ∈ r arcsecant sec -1 (-x) = π -sec -1 (x), |x| ≥ 1 arccosecant cosec -1 (-x) = -cosec -1 (x), |x| ≥ 1 inverse trigonometric functions graphs there are particularly six inverse trig functions for each trigonometry ratio . the inverse of six ...