Determine-[π sec x DetermineTTS

Q: Show that cos (x + 2pie) = cos x

A: To prove  cos (x + 2π) = cos x expand on the formula  Cos (A +B)  = cosA. cosB - sinA. sinB Here A =…

Q: do not know how to start

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Q: Graph the funchion fin) =3 Cos (1-4) 2.

A: First draw the graph of Cosx than transform it as required graph.

Q: Find the exact value of 2tan 15° /(1 - tan2 15°)..

A:

Q: 11-12. Prove that cos2a 1-tan?a sec2a

A: The given identity is cos2α=1-tan2αsec2αto prove the given identity is equal. The trigonometry…

Q: जे dydy. Sec

A: To evaluate and simplify the given integral.∫sec52y dy

Q: Find tan(u/2) if cosu=0.641 and u is in Quadrant-I. tan(u/2)=

A: Given, cosu=0.641 u is in Quadrant-I. we have to find tanu2

Q: Determine if the statement is possible for some real number z.     sin z = 1.2

A: Given: sinz=1.2

Q: -t 2 lim 8 cos t ||

A: Given  The limit is limt→π2t2-π2t8cos t

Q: Prove that the inequality|cos(x)|≥1−sin2(x) holds true for allx∈R

A: Given inequality is

Q: Prove that L (sin² x 2/3 ; p} = 1/ 108 р x (1²,5 + 4)

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Q: If z = x* tan2, find at (1,1). дхду

A: Note: We will answer only first question as you haven't mentioned which question you would like to…

Q: Find the solution(s) for theta. -4 tan 0 = 4V3 O (120, 300} (30, 120, 210, 300} O (120} (210}

A: We can solve as follows

Q: Graph f. g, and f + g on a com- mon screen to illustrate graphical addition. f(x) = sin 3x, g(x) =…

A: Given

Q: Let h(x) = tan(2x + 2). Then h'(2) is and h''(2) is

A: The given function is: h(x)=tan(2x+2)

Q: 4. Evaluate tan²(x)dr. | tan

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Q: 23т Find the exact value of tan ( 23) 6 V3 O Undefined O -V3 V3 O -1 O V3 O 1

A: Use tan (180+thetha) formula

Q: Find if y cos²(xx) %3D

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Q: Prove that the inequality | cos(x)| ≥ 1 − sin2 (x)

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Q: Prove that cos x isnot a periodic function.

A: The solution is given below in the next step:

Q: help find crtical points of A'(x)= 2(1-2xtanh(x))sech^2(x)

A: Use the graphical approach to find the critical points for A’(x). At the critical points, the…

Q: Find all values of x in the interval [0, 2?] that satisfy the equation. 9 cot2(x) = 3

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Q: 18. Which of the following is a Pythagorean relation? a. cos²0-sin²01 b. 1+ sec20 tan²0 19. From one…

A: We know that any trigonometric statement is comes from Pythagorean theorem. Here cos2θ-sin2θ=1 is…

Q: Let h(x) = tan (2x + 6). Then h'(2) is and h'(2) is

A: topic- functions and derivatives

Q: Jim sec x -COS X 2

A: Explanation and solution is given below....

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: Suppose f (x) =cos(4- ). Evaluate: A - 3sin x- B D 3sin

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Q: Show that tan-1 ( 1/v ) = π/2 - tan-1 v, if v > 0.

A: To prove tan-11v=π2-tan-1v, let  x=tan-1v then tan x=v1tan x=1v Since  tanx=1cotxcotx=1v ⋯ (1)

Q: Find tan(u/2) if cosu=−0.792 and u is in Quadrant-III. tan(u/2)=

A: Given cos u = -0.792 Since u is in Quadrant 3 We have u = 180+x, where x is any degree.

Q: Evaluate sec z tan a da- 0. 114

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Q: 36- let gix).x-x and hlx)acosx find! 1- 3.

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Q: Determine two funetions f and g whose produet result in (f x g)(=) – 8 sin"I+ 27.

A: see below the answer no need of explanation

Q: -1 Prove sin xdx = --1 2

A: First we will find the solution for indefinite integral ∫sin-1x dx then we will find the solution of…

Q: Show that 2 tan(A) tan(2A) 1- (tan(A))? tan(2A) = ||

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Q: (a) Prove that the equation has at least one real root.(b) Use your calculator to find an interval…

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Q: Show that cos(x) >1 – x²

A: In this question, the concept of the Mean Value Theorem is applied. Applying Mean Value Theorem in…

Q: 7) 2tan² 0 = 1 + 2tan 0 + 3tan² 0 8) 1= tan² 0 + sec 0

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Q: Prove that there is a real number r so that sin(r) = x – 1.

A: We have, sinx=x-1 Let us consider a function fx such that, fx=x-1-sinx

Q: Determine if the statement is possible for some real number z. sin t = z possible O not possible

A: We have to find out z

Q: What is the period of G(x) = 5 sin(3x - 3pi)? 2pi 2pi/3 2pi/5

A: Finding the period of G(x)

Q: prove the identity sec(x-π/2)=cscx

A: Here we have to prove the co-function identity sec (x - π/2) = csc x  Secant and cosecant are…

Q: find the first three nonzero terms of the Maclaurinseries for each function. ƒ(x) = x sin2 x

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Q: How many cycles of f(x) = cos x would be graphed on the interval [-3TT, TT]?

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Q: A- Prove that tan(sin-(x)) V1-x2

A: As per the guidelines we can solve 1 problem only

Q: nat is the period of y = -3 tan (2 n) +6?

A: Given query is to find the period of the function.

Q: Find all values of x for which the following is true ​sec x is undefined

A: The given question has been solved in detail

Q: Algebraically find all exact solutions to 7-tan(3-x)-4 /3 = 11 -tan(3-x) in the interval [0,2TT) X=

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Q: Q4: Prove that: secx * cscx = tan x + cot x %3D

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Q: Evaluate f(x) = 7sin r 1 COS -X %3D at a /3. x =

A: Given fx=7sinx-cos12x To evaluate the value of function at x=π3 put this value in fx fx=7sinx-cos12x

Q: Let x = 5 sin 0, π/2 < 0 < π/2. Simplify the exp √25-x

A: