prove that sin x is a perodic function .Also find its period

Q: Find the tangent of ZW. 13 12 Write your answer as an integer or as a decimal rounded to the nearest…

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Q: Determine sin(cos a) if a = 0°. Do not include the degree symbol in your answe

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Q: 18. Use periodicity to express sec in p given that sin

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Q: Discuss The Continuity of Sin T

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Q: Express the function as a 11) trigonometric function of x. Must show ALL wor Cos 4x

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Q: Evaluate : 1) | cos x 3) [ cos x 2) [ ,cot ydy sin' x 1+ sin x 7/4

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Q: Differentiate the given trigonometric functions: 1. x = tan 3u

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find sin 0 given that 0 = arctan(1/3). |

A: From the question,   Given that: Apply   inverse   property,If,…

Q: Find the exact value of the expression whenever it is defined.sin (arcsin 1/2 + arccos 0)

A: Our Aim is to find the exact value of the expression given below:-sin sin-112+cos-10-(i)

Q: Find the value of sin2x over the interval (0,pie)

A: Given that  f(x) = Sin2 x and interval is 0, πWe know that the average value of a continous…

Q: What is the period of the function A sin(27Bt) + C?

A: Consider the function  Asin2πBt+C

Q: Derive the identity for tan(a – B) using tan(a – B) = tan[a + (-B)]. After applying the formula for…

A: Our Aim is to derive the identity for tan α-β using the formula for the tangent of the sum of two…

Q: Show that the period of f(θ)= tan θ is 2π.

A: Consider the function  fθ=tanθ

Q: Find sin 0 given that 0 = arctan(1/3).

A: sinarctan13 use the formula sinarctanx=x1+x21+x2 here we have x=13

Q: tan(t + π) =______ and cot(t + π) =_____ , so the tangent and cotangent functions are_____…

A: Given tan(t + π) and cot(t + π)

Q: express as an algebraic expression in terms of x. sin(arctan(x))

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Q: Find the exact value of the expression whenever it is defined.arctan 0

A: tan-10

Q: Solve for x from the given trigonometric equation:  arcrtan (1-x)+ arctan (1 +x) = arctan1/8

A: Given that: tan-1(1-x)+tan-1(1+x)=tan-118

Q: Let f (x) = tan(arccos (Vx + 2)), Write f or inverse trigonometric functions. as an algebraic…

A: See attached file for a step by step explanation.

Q: By using the relationship between the hyperbolic sine function and its inverse, prove * (sinh (z)] =…

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Q: If z =7 tan 0, express sin (20) as a function of z. sin (20) =

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Q: Determine the exact value of the following: tan () – sin () cot ()

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Q: Show that the period of f(θ)=cos θ is 2π.

A: Consider the function fθ=cos θ Comparing this with the general equation f(x)=A cos (B x - C)+D, we…

Q: one of sin x, cos x, and tan x is given. Find the othertwo if x lies in the specified interval.

A: It is given that sinx=35.

Q: Assume a is positive, find cos(tan-) (show your work)

A: Given, x is positive To find cos(tan-1x)

Q: write sin( arccos (2/x)) as an expression in terms of x with no trigonometric functions

A: To write the given expression in terms of x.

Q: If f(x) = sin(2x) + sin(4x) + sin(6x), determine the fundamental period. %3D

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Q: Prove that: Sin'x+ cosx=I

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Q: Use the De Moivre's Formula Prove: Express tan 40 in terms of tan e.

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Q: sin100

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Q: (a) tan(sin (-

A: Explanation of the answer is as follows

Q: Find the Tan θ given the Sin θ = -1/3 and Sec θ is positive

A: Given  Sin θ=-13 The objective is to calculate Tan θ. Use the following 1. sec θ=1cos θ2. tan θ=sin…

Q: Let sin A = - * with A in QIII and find the following. sin 2A

A: Given that, sinA=-45 Let , sinB=45. Then, B=sin-145=53.130 Then, the equation becomes,…

Q: Let the trigonometric function f be defined as f(x) = – 3 sin(8x), The amplitude of f is The period…

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Q: Prove that the equation tan θ = sin θ sec θ is an identity.

A: we have to Prove that the equation tan θ = sin θ sec θ is an identity

Q: Use the addition formulas for tangent to simplify the expression. [tan(e + 77)][tan(0 – 77)] + 1

A: Explanation of the solution is given below...

Q: Is  the sine function continuous every where?

A: we know that sine function is continuous on it's domain which we can see by graph of sine function…

Q: one of sin x, cos x, and tan x is given. Find the othertwo if x lies in the specified interval.

A: Given sinx=-12, where x∈π,3π2. Since, x lies in third quadrant, so cosine function will be negative…

Q: Use the intermediate Value Theorem to show that the folowing equation has at least TWO distinct…

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Q: Find the five trigonometric functions in terms of t, if sint = - x+1

A: Given:sint=xx+1

Q: Find the exact value of cos(arctan x)

A: The exact value of cosarctanx=

Q: The fundamental period of the function f(x) = sin 5x is . %3D Select one: True False Nextp

A: The given function is fx=sin 5x. The period of a function of the form sinax+b is given by 2πa. Here,…

Q: Determine the function that satisfies the following conditions. Find sin 0 when cos 0 = 0.748 and…

A: NOTE: Refresh your page if you can't see any equations. . here we have here we have which means…

Q: Verify the trigonometric identity sin(z - 1/2) = - cos(z)

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Q: Use the half-angle formula for tangent to compute tan(θ/2) given tan(θ)=67/44 where 0<θ<π/2.…

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Q: Find the other five trigonometric functions is sin 0 > 0 and tan 0 = %3D 12

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Q: Let tanA=5/12 with A in Q1 and find the exact value for sin(2A)

A: Given: tanA=512, where A is in 1st Quadrant

Q: Let sin(0) = . Find sec(20).

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Q: Determine the period of the following trigonometric function. 4x y = sin(- 3 3

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