によって Emily Conte 10年前.
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Trig Functions and Identities
Trigonometric functions are fundamental in the study of mathematics, particularly in the realm of geometry and calculus. Each function, including sine, cosine, tangent, cotangent, cosecant, and secant, has unique properties and identities that define their behavior.
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Trig Functions and Identities Cotangent cot Ɵ= 1/ tanƟ Graph of Cotangent Inverse: cot^-1x cot Ɵ= adjacent/opposite Domain: {x/x≠kπ where k is an even integer}Range: (-∞,∞) Cosecant csc Ɵ= 1/sinƟ Graph of Cosecant Inverse: csc^-1x csc Ɵ= hypotenuse/opposite Domain: {x/x≠ kπ, where K is an integer}Range: (-∞, -1]U [-1, ∞) Cosine cos θ= 1/sec θ Graph of Cosine Inverse: cos^-1 x cos θ= adjacent/hypotenus Trig Identities Secant sec θ= 1/cos θ Graph of Secant Inverse: sec^-1x Even Function sec θ= hypotenuse/adjacent Domain: {x/x≠kπ/2 where k is an odd integer}Range: (-∞, -1]U [-1, ∞) Tangent tan θ= sin θ/ cos θ Graph of Tangent Inverse: tan^-1 x tan θ= opposite/adjacent Domain: {x/x≠ odd multiples of π/2}Range: All real numbers Sine sin θ=1/cscθ Graph of Sine Inverse: sin^-1 x Odd Function sin θ= opposite/hypotenus Domain: (-∞,∞)Range: [-1,1]
