In these lessons, we will look at how to identify whether a Trigonometric duty is Even, strange or Neither.
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Related PagesLessons on TrigonometryInverse trigonometry Trigonometric functions Even and also Odd FunctionsWhat Is An even Function?
An even function is symmetric (by reflection) about the y-axis , i.e. F(-x) = f(x)What Is one Odd Function?
An odd function is symmetric (by 180° rotation) about the origin, i.e. F(-x) = -f(x)
The adhering to table reflects the also Trigonometric Functions and Odd Trigonometric Functions. Scroll down the page for more examples and step by action solutions.
Cosine role is even. Cos(-x) = cos x Secant role is even. Sec(-x) = sec xOdd Trigonometric Functions and Identities
Sine duty is odd. Sin(-x) = - sin xCosecant role is odd. Csc(-x) = - csc xTangent function is odd. Tan(-x) = - tan xCotangent role is odd. Cot(-x) = - cot x
Determine even if it is A Trigonometric role Is Odd, Even, Or Neither
Examples with Trigonometric Functions: Even, strange or NeitherCosine function, Secant function, Sine function, Cosecant function, Tangent function, and also Cotangent functionexamples With Trigonometric Functions: Even, odd Or Neither
Determine whether the complying with trigonometric function is Even, weird or Neithera) f(x) = sec x tan x
b) g(x) = x4 sin x cos2x
c) h(x) = cos x + sin xjust how To usage The Even-Odd properties Of The Trigonometric Functions?
Example: find the specific value making use of even-odd properties.(a) sin(-30°) (b) cos(-3π/4) (c) tan(-π/4)exactly how To determine Trig function Values Based Upon whether The function Is weird Or Even?
Determine each function value.If cos(x) = 0.5, climate cos(-x) = ___.If sin(x) = 0.15, climate sin(-x) = ___.If tan(-x) = -3, climate tan(x) = ___.If sec(-x) = 1.4, climate sec(x) = ___.how To Use also Or Odd properties To evaluate Trig Functions?
Evaluate the trigonometric role by first using even/odd nature to rewrite the expression v a confident angle. Give an exact answer carry out not use a calculator.sin(-45°)sec(210°)cos(-π6)csc(-3π/2)
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