• Prove that sin(x) is an odd function. . Prove that tan-¹(x) is an odd function. -1 • Prove that CSC-¹(x) is an odd function. . .

Q: 4 1) Given the function f (x) = 5 – 2 cos f(-) 3T a) Find the exact values of f () and f(-4) b)…

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Q: Suppose we define a function f(x) by f(x) = a1 sin(x) + a2 sin(2x) +· + an sin(nx), .. for constants…

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Q: Graph the cosine function and understand its properties Question On the graph of f(x) = cosx and the…

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Q: In(|tan(x) sin(x)]) = 2 In(|sin(x)|) + In(|sec(x)|)

A: i will use the log rule: ln a +ln b=ln(ab) and some trigonometric rules.

Q: Wouldn't tan(x+pi)-(-sin(x)) yield tan(x+pi) + sin(x)) instead of tan(x+pi) - sin(x))?

A: Yes , there is a mistake on that question. I give u correct solution .  tan(x + π) - cos( x + (π/2))…

Q: Sketch a graph of the function f(x) : – 2 sin(x + n). - 3- -Зл/2 -5л14 -3T|4 -T/2 -T/4 Зл14 5л14…

A: Graph of sine function

Q: Consider the functions: f(x) = (cos(x) − sin(x))/cos(2x) and g(x) = 1/(cos(x) + sin(x)) where in…

A: cos(2x) = cos^2(x) - sin^2(x)

Q: (sin x)(1+ sin²2) 0 Let h(x) = how that h is continuous. if x #0 if x = 0

A: The given function is

Q: Vrite the expression as an algebraic expression in x for x > 0. 2 tan( 2 cos

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