Prove the identity. sin x+ 2. = cotx sin (n-x)

Q: Hiw ABy using Euler's formula prove That : sin(-2)= cosz

A: Euler's formula  Sun(a-b) = sinacosb - cosa sinb

Q: Prove the identity. +x + sin 6. sin = cos x

A: Given, We have to prove the identity sinπ6+x+sinπ6-x=cosx

Q: 8+tan x dx 1-sin?x i.

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Q: 3 sin° x -dx Evaluate ' cos° x

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Q: Estimate the error if P 3(x) = x - (x^3/6) is used to estimate the value of sin x at x = 0.1.

A: Given:

Q: CianXtl) 2 tan x 8. Prove the identity: sin 2x = 1+ tan x L.S. es

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Q: Prove the identity sin(-0)- cos (+0)

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Q: Sin

A: We have to find the integral

Q: 5. Verify the identity: sin(x- y)cos y+cos(x– y)sin y = sin x

A: Explanation of the solution is given below.....

Q: Prove the identity.   (cosh x + sinh x)n = cosh nx + sinh nx  (n is any real number)

A: The cosh x and sinh x are given by, LHS =

Q: 1 Evaluate: sin'x cos x

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Q: Prove the identity. sin(x+y) sinx + cos(x+y) cosx = cosy

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Q: Prove the identity (sin x + cos x)? – sin(2x) =1

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Q: Evaluate So sin(x) dx 1+sin(x) 2 Select one: O 1+ 2 2 -1-5 -1+5 2 2

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Q: Evaluate (cos x In sin x) dx. Select the correct response: O cos x (In sin x-1) +C sin x (In cos…

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Q: 3. Prove that the identity is true. sin*t - costt tan-t– 1 cos't

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

Q: Rewrite 1 sin(x)+ 2 cos(x) as A sin(x + 4) %3D Note: o should be in the interval-T <¢ < II

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Q: 1 what is sin(-x)? 7 Given that sin(x) =

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Q: Verify the identity. sin(x + y) – sin (x - y) = 2cos.xsiny

A: To verify the identity, sinx+y-sinx-y=2cosxsiny

Q: Verify the identity sin 4t = 4 sin t cos3 t - 4 sin3 t cos t.

A: We have to verify the identity: sin4t=4sintcos3t-4sin3tcost We know following trigonometric…

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: 3 + cos 3x dx Evaluate sin 3x

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Q: Sy sin 3ydy

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Q: | sin'x cos' xdx = ? /12

A: Given,         ∫π2πsin5xcos3xdx

Q: Prove: sin? x 2 cos“ = cos 2-2cos x

A: We will use basic properties of trigonometric ratios

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

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Q: Assuming that |a| < 1, find the value of cosh ax dr. cosh x

A: It is given that,a&lt;1, we have to find the value of              ∫0∞coshaxcoshxdx

Q: prove the identity  sin(x) + sin(3x) = 4 sin(x) cos2(x)

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Q: Prove the identity. s (xxy) sinx- sin (x-y) cosx= siny cos

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Q: Prove the identity. + sin 3 cos x- cosx

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Q: 24. Prove the identity 1 – (sin x – cos x)2 = sin 2x

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Q: 15. Evaluate Sin x cosx dx 2x Your answer 16. Evaluate se 3cos 2x Sin 2x dx Your answer

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Q: Evaluate sin z -dx /4 - coS I

A: Use the substitution method and first simplify the integration than integrate.

Q: 5. Prove the identity. csc 0- cot 0 sin- 2 2 csc e

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Q: evaluate using the appropriate method or combination of methods.

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Q: Prove the identity. sin(n-x)сos(n+x)tan(2π − x) T 3π 3π sec+ x)csc(³7-x)cot (³7 + x) = sin^x - sin²x

A: I have appended the formula used in the solution part of the question

Q: Prove the identity. sin x 1+ cos x 1- cos x sin x

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Q: Verify the identity: cos t cot t = (1 - sin2 t)/sin t

A: We have identity is  cos t cot t=1-sin2tsin t LHS=cos t cot t RHS=1-sin2tsin t…

Q: 1 sin cet a = sin" z

A: Given: 1-sin2 xcot2 x=sin2 x To Find: To complete the steps to prove the given identity.

Q: 17) Prove the following: a) (sin x)(sec x)(cot x) 1

A: Since secx=1cosx  and cotx=cosxsinx Then LHS =  sinxsecxcotx=sinx1cosxcosxsinx

Q: Verify the trigonometric identity sin(z - 1/2) = - cos(z)

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Q: tx)+ Sin(꼴-)- -26S X %3D Prove sin

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Q: Verify the identity. 1- sin x + COs X 1 + sin x + cos X COS X | sin x + 1

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Q: 1 – 3 sin (x) 2 cos (x) dx. (Hint: start by rewriting the integrand function as 3 sin (x) 2 cos (x)…

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Q: evaluate using the appropriate method or combination of methods.

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Q: 7. Prove the identity. – sin 3 TT -x= 0 2 sin +x 2

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Q: Verify the identity: sin t tan t = (1 - cos2 t)/cos t

A: To Prove - sint tant = 1-cos2tcost

Q: Prove the identity. cosh?x (cosh(2x) + 1) 2

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