Q1/Find the periodicity for the following trigonometric functions: a) Y=cot(2x). b) Y=sin(x/2).

Q: a. Express x = --3-8ż in its trigonometric form r (cos(0) + i sin(0)) with 0 ≤ 0 < 2. Give your…

A: a) x=-3-8ib) 2+5i2+2i

Q: Determine the period of the sinusoidal function y = 0. 75 cos 7x – 0. 5.

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Q: 1 Use the Trapezium Rule, with seven ordinates, to evaluate In(sin.r+3)dxcorrect to four decimal…

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Q: Solve for the derivative of the following trigonometric function 1. у 3D 6seс Зх 2. x = cos4t 3.…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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

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Q: Suppose y = sina, which is TRUE about y? 1 Oy= sin O none of the above y 0 *= arcsing O * = sin y

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Q: If sin v = with < v < T and cos w = * with 0 < w < , find sin (v + w)

A: Given that π2&lt;v&lt;π. So, v is in the 2nd quadrant.In 2nd quadrant sinv is positive but cosv is…

Q: What is the amplitude of y = 3 sin 2 x? 1

A: Given that: y=3sin2x

Q: 5. Find the values of a and b such that dx tan 1 + sinx a + b . %3D

A: We need to integrate ∫11+sinxdx

Q: 9. Find the other trigonometric functions of 0 of sec 0 3 and 0 does not terminate

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Q: 1. Differentiate the following with respect to the variable given. 1 cosx 2 sin' x tan

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Q: By using the relationship between the hyperbolic sine function and its Ssinh- (x)] = V. inverse,…

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Q: Find the amplitude and period for the function y = −2 sin( 12 x).

A: Given:     y=−2sin12x

Q: Q5/ If tan 0 :- find without using table values of: sin 0, cos 0.

A: The given question is taken from trigonometry and calculus so we have to deal with both of the given…

Q: Find the value of the trig function indicated. 1) tan 0 2) sin 6 7V5 14

A: Solution: The objective is to find the value of sin(θ)

Q: Find the exact values of the following expressions. Decimal approximations will receive no credit!…

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Q: es of the five quarter points of y=sinx to determine the corresponding quarter points on the graph…

A: Introduction:

Q: 2. Apply the properties of even and odd functions to find the exact va a. sin(-120°) (-#) c. sin…

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Q: Show that x² + 1 cos{arctan[sin(arccot x)]} = V x² + 2

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Q: If cos A %3D with A in QII V10 Find tan 2A. HIN

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Q: 1. Find of the trigonometric function: dx y=−10x + 3 cosx

A: Derivative of Cosx is -Sinx

Q: 2) Verify that the equation is an Identity. tan 0 = sin 0 %3D sec 0

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Q: y = x² cos sec 3 -1* 2

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Q: Differentiate.  y =cos x /(1 - sin x)

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Q: Find the equation of a sine wave that is obtained by shifting the graph of y=sin(x) to the right 2…

A: The general equation that should be formmed is as follows:           y-A = Bsin(x-C)   where, A…

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: 9. Express tan 0 in terms of sec 0 for 0 in Quadrant II.

A: We know that, sec2θ=1+tan2θ So sec2θ=1+tan2θtan2θ=sec2θ-1tanθ=±sec2θ-1 But given that θ lie in…

Q: At which of these x-values is the graph of y = sin x above the graph of y = cos x ?

A: This is a very simple question even if you are given some options in form of intervals, using them…

Q: Find y’ if y = Arc cos (sin 4x).

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Q: 3. Find y' for y = cos(sin² x)

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. Differentiate the following with respect to the variable given. 1 cosx 2 sin x tan 2. Given the…

A: We can solve the given problem as follows:

Q: Consider these two trigonometric functions: f(x) = 3 sin(2x) +4 %3D s(x) - 3 sin(2x- + 4 -

A: f(x)=3sin(2x)+4applying formula of sin2xsin2x=2sinxcosxafter applying sin2x…

Q: 1) Use Excel to plot both of sin(x), cos(x) at the same plot, where: 0<x <2n.

A: To find- Use Excel to plot both of sinx, cosx at the same plot, where: 0 ≤ x ≤ 2π.

Q: What are the periods of these functions? (a) y = sin20           (b) y = sin 0/2 (c) y = sin20 + sin…

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Q: The smallest positive number for which sin(t) - cos(2t) = 0 is t =

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Q: I. Differentiate the given trigonometric function 1. x = tan 3u 2. y = 4cos²y sin 4y 3. w = y+1

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Q: B. If cos-' (cos- '(cos) = y .Find value of y?

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Q: What is the period of the function y = 2 sin x + cos 2x?

A: Given function, y = 2 sin x + cos 2x

Q: 6. Suppose that < 0 < n and sin 0 = . Find the other 5 trigonometric functions evaluated at 0.

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Q: What is the period of f(x) = sin(3Ħx – 4) + 2? %3D

A: For a given function: Time period (T) =        2(PI)     _        w(omega) Whereas addition of DC…

Q: Find a numerical approximation to the length of c(t) = (cos(4t), sin(8 Use decimal notation. Give…

A: Given

Q: Show that: cos hz = cos hx cos y + i sin hx sin y.

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

A: Given information: tanx=12    x∈π, 3π2

Q: Cos x [SND] If y = tan x+ seç show that, y = (1 – sin æ)?

A: Topic  =trigonometry

Q: Given: tan(0) 12 %3D find sec(0). = 12

A: Trigonometry Ratio's tanθ =PBsecθ=HB By Pythagoras theorem , H2 =P2+B2 Where H is hypotenuse , B is…

Q: Evaluate the six trigonometric functions at t = 4π/3. Only exact values,

A: The given angle is t = 4π3   which is 240° the angle is in the third quadrant. in third quadrant the…

Q: Determine the period as requested. 5) Feriod of y 5 sin 4x A) 4 C)2 -1/2

A: In this question, we want to find the period of the given function.