Complete the identity using the triangle method (a) cos(tan^−1(x)) = (b) sin(sec^−1(x))= a)=  b)=

Q: Sinxtsina3x COSX+ COS 32 tan 22

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Q: Verify the identity : 1-cosx sinx = 2 csc x sinx 1– COsx 2.

A: Given- 1-cosxsinx+sinx1-cosx=2cscx To verify- The above identity. Identity Used- sin2x=1-cos2x

Q: Find the value  (1-sin2x)sec2x=1

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Q: State the half-angle identities used to integrate sin2 x and cos2 x.

A: Given, The functions are sin2 x and cos2 x

Q: Use a calculator to compute sinhx and coshx for x = -3, 0, 5.

A: We use a calculator to find the values.

Q: Evaluating √9-x² dx using trigonometric substitution will lead to: -3

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Q: Find SinZx, Lo52x, Tan2x Cosxニーニ 3. and X terminates in quadrant 2 Sin2x = Cos 2x = tan 2x =

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Q: 1+cos2x 3. cotx sin 2x

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Q: 11. cos4x-cos2 dx sin4x-cos2x

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Q: (1+cos3x)² -dx sin23x

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Q: Find all exact solutions to the equation arcsin(2x)+arccos(x) 6 X=

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Q: If you need to review them, here is a link to the DQ Instructions. Show and briefly explain your…

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Q: Find sin 2x, cos 2x, and tan 2x if cosx = 2 and x terminates in quadrant I sin 2.x cos 2x tan 2.x

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Q: Prove the equation Sin^2xcos^3x=(sin^2x-sin^4x)(cosx)

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Q: Compute without using a calculator.

A: Given sin-1sin-5π6

Q: State the half-angle identities used to integrate sin x and cos x.

A: Half Angle Identities are the formulae/relationships used in trigonometric functions to reduce the…

Q: inetgrate sin^2(x)csc^2(2x)

A: Given: Let I=∫sin2xcsc22xdx To Find: To integrate the given integration.

Q: Find 7 sin (7x) dx

A: According to question,Given Integral,Let I = ∫7 sin27x dx

Q: Find 7 sin² (7x) dx

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Q: Express sin6 Oin terms of powers of sin Oonly

A: We have given,  sin6θ we have to express it in the term of sin only.

Q: sin x 5 2 0, cos x

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Q: Find the possible values of x in |coshx -sinhx| = 2 Isinhx coshx

A: Given,           coshx-sinhxsinhxcoshx=2

Q: Verify identity tan2 2x + sin2 2x + cos2 2x = sec2 2x.

A: To verify: tan2 2x + sin2 2x + cos2 2x = sec2 2x WKT cos2x+sin2x=1 x refers to any number, Replace x…

Q: cotx (1- cos 2x) = sin 2x

A: Formulae used: 2sinx cosx = sin2x cotx = cosxsinx cos2x = 1-sin2x

Q: Describe the technique for finding ∫ sec5 x tan7 x dx. Do not integrate.

A: Given ∫sec5x tan7x dx

Q: ∫sin5(6x)cos(6x)dx

A: ∫xn=xn+1n+1+C

Q: 1-cosx sinx

A: Using Trigonometry property,

Q: 15.sin2x secx- cscx =0

A: The value of x is π/4 + nπ/2

Q: Find sin x if cot x=-(√3)/2 and cos x (less than) 0

A: We will find the value of sin x.

Q: 3. sec-1 -tan

A: Given,

Q: sin2x+cos2 for x = 55 degrees.

A: Apply trigonometric identity cosA=sinπ2-A to rewrite the expression. sin2x+cos2x=sin2x+sinπ2-2x…

Q: *cosx= 24 sinxyo, cos (x+5") 25

A: Given: cosα=2425, sinα>0 To determine: cosα+5π6

Q: cos² (x) sin (x) dx

A:

Q: Determine two smallest roots of the equation x.Sinx + Cosx = 0 using Regula-falsi method, correct…

A: Consider the provided question,  xsinx+cosx=0Let fx= xsinx+cosx here, x 0 1 2 3 f(x) 1 1.3818…

Q: S(sec; - sin) do

A: We know that integration power rule is  Integration of (xn) = xn+1/n+1.   Here i attached the…

Q: cos xdx 54-sin²x

A:

Q: Find the exact value of the expression. sin-(- v3/2)

A: GivenSin-1-32By simplification we get that-Sin-132=-arcsin32 Now look the below table  x…

Q: If sinhx=-1÷2,then coshx is

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Q: Find sin 2x, cos 2x, and tan 2x if tanx 2 and x terminates in quadrant I. sin 2x cos 2.x !! tan 2.x

A: Given, tan x = 2 x terminates in quadrant in I We have to find the value of sin2x, cos2x and tan2x

Q: 2 cos(4x) – 4 x² – 2 lim - - sin(6x) – x2 – 6x - - (Use calculator and write

A: The given limit is limx→02 cos(4x)-4x2-2sin(6x)-x2-6x

Q: 8. If sin x- cos x = 3, find sin x sec x

A: given: sinx-cosx=13 to find: sinxsecx

Q: . Evaluate cos 3x sin² 3x dx

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Q: Find the indicated number (i) sec-(-2v3/3) (ii) cos(sin-12+ sec-1 3)

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Q: Find sin 0 and tan 0 if the terminal side of 0 lies along the line y = -7x in QII. sin 0 = tan 0:

A: Given that terminal side of ϑ lies along the line y = -7x. Note that the slope of the line y = -7x…