53. tan + cot 2. 2cscx %3D

Q: Differentiate. f(0) = 0 cos(0) sin(0)

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Q: 1 sec A-tan Asin A = %3D sec A

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Q: Let f(x) = 6.5 sin(x) – 2.3 cos(x). What is the maximum and minimum value of this function? %3D max…

A: To determine the minimum and maximum value of the function.

Q: tan(tan3x)dx Evaluate: cos-3x -In |sec (tan3x)| + C (B ® - in [cos(tan3x)| + C © - sin( tan3x)| + c…

A: We need to evaluate the following integral I = ∫tantan3xcos23xdx…

Q: 2 (tan²x + 1)√sin2x.dx= (tan², 0

A: Find your answer below

Q: Show that L-1{ = (sin hat sin at) s4+4a4, 2а2

A: To find Inverse Laplace transform of ss4+4a4: write ss4+4a4 as  ss2+2a22-2as2 Then the denominator…

Q: Determine the amplitude of y = 1/2 sin x. Then graph y = sin x and y = 1/2sin x for 0 ≤ x ≤ 2p.

A: Given y=12sinx

Q: Q.3) Prove that L-1 ) =(coshat sinat + sinhat cosat) %3D 2a +4a

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Q: Evaluate the following functions. 1. sec (2) 2. tan (-1) 3. arcsin (-1/2) 4. sin (0) 5. csc (-V2) 6.…

A: "Since you have posted a question with multisubparts, we will solve the first five subparts for you.…

Q: s2 Prove that L-1 ) = (coshat sinat + sinhat cosat) +4a* 2a

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Q: coS X sccr+ tan x 1- sinx

A: given,        cosx1-sinx=secx+tanx

Q: (2k + 1). True or False tan 0. cos 0 = sin 0 for any 0 + %3D

A: Given :            tan θ . cos θ = sin θ for any θ ≠ (2k + 1)π2.  To state true or fase.

Q: Verify the identity sin 2t - tan t = tan t cos 2t.

A: Given:sin2t-tant=tant cos2tTrigonometry formula:sin2t=2sint costtant=sintcostcos2t=cos2t-sin2t

Q: Evaluate cos x -2 sinx sin 2x dx Round to 4 decimal places.

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Q: 1. What is S tan x dx?

A: log|sec x|+c .

Q: Find the exact value of sin(x - y) if sin x = 3 ≤ y ≤ 2. on ≤x≤ and sin y=-3 on

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Q: D,(6 tan x) 6 sec² x sec² x (c) D,(In |6 tan x|) %3D 6 tan x 6 tan x tan x

A: Consider the given function as Dxln6tanx

Q: 3. Prove the identity : sin(x- y) tanx - tany cosxcosy

A: The given identity is, tanx-tany=sinx-ycosxcosy The identity will be true if the left-hand term will…

Q: TT True or False tan 0 • cos 0 sin 0 for any 0 # (2k + 1) %3D

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Q: find solution set of tan-1x-cot-1x=cos-1(2-x)

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Q: Find x where 0 ≤ x ≤ 2π. 4 cot²x = cos²x + sin²x - 1

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Q: 1 Thingularity at 0 of tan - is removable. :Select one True False

A: We will find the singularity at 0 of tan(1/z)

Q: Show that (tan- x)' = cos²(tan¬1 x) and then use Figure 8 to prove that (tan-1 x)' = (x² + 1)-1.…

A: Consider the given figure.

Q: Find all solutions of v3 tan xcotx + V3 tan x - cot x-1= 0

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Suppose that sin 0 = V10 and 90° < 0 < 180°. Find the exact values of sin and tan- JT sin 2 %3D…

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Q: If f(x)=tan x, then show that f(x+y)-f(x) = sec^2x tany/ 1-tanxtany

A: The detailed solution is given below Thank you

Q: 2. Describe a way of evaluating sin° x dx.

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Q: what is the value of x if 2tan x / (1-tan^2x) = cot56

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Q: ≤ Lºin( Verify that f(x) = sin() is an odd function and use that fact to show that 0 < sin(√√x) dx ≤…

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Q: Evaluate: | sech[In cosx]tanx dx A -2 tan -1(e cosx) +C В -2 tan -1(cosx) +C 2 tan -(ecosx) + C (D 2…

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Q: Determine the amplitude of the function y = -2 cos x. Also, choose its graph.

A: Given,            y = -2 cos x     We know that,          For a function F( x ) = A cos( Bx - C )…

Q: 1. cos t (1 + tan²t) sin ß sec ß + cos ß csc ß 2.

A: Given : 1. cost1+tan2t2. sinβsecβ+cosβcscβ

Q: Prove that csc2A tan(2A) = 2cosA/cos(2A)sinA

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Q: Evaluate y' of y = tan-'(cosx).

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Q: Derive a formula for ſ tan x sec "x dx where n 40

A: Integration problem....

Q: Let f(x) 1.9 sin(x) + 6.9 cos(x). What is the maximum and minimum value of this function? max min =…

A: Given f(x)=1.9sin(x)+6.9cos(x)

Q: Find x where 0 ≤ x ≤ 2π. cos x - tan²x = 1

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Q: Differentiate x sin-1 (x) with respect to sin¯'x. х.

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Q: Evaluate S tan'x sec'x dx sec x 2. sec 'x + sec'x +C sinx - 2 sin'x + sin'x +C 3 3 Option 1 O Option…

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Q: Determine the amplitude of y = 3 sin x. Then graph y = sin x and y = 3 sin x for 0 ≤ x ≤ 2π.

A: Given, y=3sinx             ...(1)

Q: 12. Find the exact simplified function value of tan (2a). 4 where TTSAL 3T 2. Given sin a= -

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Q: ll solutions of the equation in the interva tan(x + T) + 2 sin(x + t) = 0

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Q: Determine the amplitude of y = -2 sin x. Then graph y = sin x and y = -2 sin xfor -π≤ x ≤3π.

A: We have to determine the amplitude of y=-2 sin x   We have the standard form as y = A sin(B(x + C))…

Q: Show that:- tan-1 x + tan-1 y = tan-1 x+y 1-ху

A: We need to show the following identity tan-1x + tan-1y = tan-1x+y1-xy

Q: Determine the amplitude of y = - 1/2 sin x. Then graph y = sin x and y = - 1/2sin x for -π ≤ x ≤ 3π.

A: We have to graph the following functions y=sin x y=-12sin x   We have to find the amplitude of…

Q: The simplest form of tan2x is secx-1 Select one: a. tan x b. cos x +1 C. sec x + 1

A: Given:     To determine: The simplest form

Q: Prove the identity : sin(x-y) tanx- tany Cosxcosy

A: Consider, tanx-tany=sinxcosx-sinycosy=sinx cosy-cosx sinycosx cosy=sinx-ycosx cosy…