Prove (secx+tanx)/(secx-tanx) = (1+2sinx+sin^2x)/cos^2x

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: 4. Verify. COSX 1+sinx = 2secx %D а. 1+sinx COSX b. cosx(1+ tanx)² = secx + 2sinx %3D

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Q: Verify that (sinx-cosx)2=1-sin(2x)

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Q: Describe the method used to integrate sin² x.

A: The process to find the integration of sin3x is to write in a way through which its differential can…

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: prove that tanx V secrsinxtanx

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Q: Describe the method used to integrate sin3 x.

A: Given I = ∫sin3x dxTo integrate sin3x , substitute sin3x  = sinx . sin2xor sin3x = sinx . sin2x =…

Q: Verify the identity: (cos 3x - cos 5x)/(sin 3x + sin 5x) = tan x.

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Q: tan(2x) O 1+ cos(4x) sin(4x) O cos(4x) – 1 sin(4x) O 1- cos(2x) sin(2a) sin(4x) 1+ cos(4x)

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: find integral tan 5 x sec 7 x dx

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Q: prove tany csc3-tanX =cos x CSCX Sinx tanx tcosX-

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Q: Find   tan(u/2)   if   sinu=−0.723

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Q: 1/tanx+secx=cosx/sinx+1  verify

A: We simplify the left-hand side first. Multiplying by (secx-tanx) in numerator and denominator.

Q: Integral of √1-sin2x/2

A: Integral: -The function F(x)is referred to as the anti-derivative or integral of the supplied…

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

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Q: Find all solutions of 4sin^2xtanx−tanx= 0 that are in the interval [0,2π)

A: Given the equation  4sin2xtanx-tanx=0. We need to find the solution in the interval [0,2π)

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

A: Given,           coshx-sinhxsinhxcoshx=2

Q: Verify. a. (2 tan x ) / (1 + tan2 x) = sin(2x) b.  1 / (1 − sin θ) + 1 / (1 + sin θ) = 2 sec2 θ c. 1…

A: Part a)Given:

Q: 9 coshx - 5 sinhx = 15

A: Note the following result : cosh x=ex+e-x2  sinh x=ex-e-x2 . In above formula , x∈ℝ . To solve the…

Q: find integral of sin2xln(tanx)

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Q: What is the integrable form of sin-cos- sin0 do?

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 1 Differentiate f(æ) = sin-(4x). Use exact values. = (x),f

A: We use the chain rule for differentiation

Q: cosx tanx In(1+x)

A: Write the power series in sigma notation and in expanded form

Q: sin2x+cos2 for x = 55 degrees.

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

Q: Evaluate. de (sin(5x – 1)] cos(5æ – 1) 5 - sin(5æ – 1) 5 · cos(5æ – 1) • 5· cos(x)

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Q: verify that (sin(x)-cos(x))^2=1-sin(2x)

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Q: Prove that 1-cos2x+sin2x 1+cos2x+sin2x = tan x

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Q: 9. tanx + secx = COSX 1- sinx

A: tanx+secx=cosx1-sinxsinxcosx+1cosx=cosx1-sinx1+sinxcosx=cosx1-sinx1+sinxcosx=cosx1-sinx×1+sinx1+sinx…

Q: What is cosx+tanx over sinx

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Q: sinx(tan(x/2))-sinx=0

A: sin x tanx2-sin x=0

Q: prove that = - Cotx + C 1- cosx +Sin'x

A: According to the question, we need to evaluate the integration: F(x) = 2(1 - cos2x + sin2x) We need…

Q: verify sin2(x)+cos2(x)=1

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Q: Find the equation of the tangent line to the astroid x = cos° (0), y = sin³ (0) at 0 = 5. (Express…

A: The given equation of the astroid:x=cos3θ and y=sin3θWe need to find the tangent line to the astroid…

Q: Prove that sin3x/sinx - cos3x/cosx = 2

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Q: 7. Show that sin (+ x) = -cosx.

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Q: sinx secx + 1 %3D 1 cosx tanx

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Q: Verify: 1. (sinx – cosx)² – 1 = -sin2x %3D

A: We can verify the statement as below

Q: prove that sin⁴x - sin²3x+sinx-3 = 0 has no solution.

A: prove that sin⁴x - sin²3x+sinx-3 = 0 has no solution.

Q: prove that 2. = - Cotx + C |- Cosx +Sinx

A: This question is fairly based on simple formulas of trigonometry and calculus

Q: Show that 3(sinx-cosx)*+6(sinx + cosx)²+4 (sinºx+cos°x) = 13 %3D

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Q: If 16(sinx) + 16(cosx)2 10 then x-.. %3D

A: Given that 16(sin x)2+16(cos x)2=10. That is 16sin2x+16cos2x=10. We have to find x value.

Q: Integrate tanx+cosx-sin2x=1

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Q: What is the integrable form of sin-cos-sin0 do 2 2

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

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Q: Verify that (sin(x) – cos(x)) = 1- sin(2x)

A: sinx-cosx2=sin2x-2sinxcosx+cos2x     ∵a-b2=a2-2ab+b2=sin2x+cos2x-2sinxcosx=1-sin2x…

Q: Prove Sine tan 2. 1+ cose

A: Using the double angle identities we get

Q: Verify that 2tan (x/2)= (sin2x+1-cos2)/(sin x(1+cos x)

A: Consider the given condition that,2tan (x/2) = (sin2x+1–cos2x)/(sin x(1+cos x)) … (1)Consider the…