INTEGRAL OF TRIGONOMETRIC FUNCTION Put your clear solution ∫((sin^2 (2-x))/(cos^2 (2-x)) dx

Q: cos x- senx = cos4 x - sen x tan e tan a-1 tan a-coto (sec x + 1)(sec x-1) = tan?x

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Q: aresin(sin(-5). 3 arcsin( sin( – sin(-"#))- 4 arccos( cos(- 6. IT arccos( cOS 3 II

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Q: tan 5. CoS sin 12

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Q: ∫sin(8x)sin(x)dx

A: Solution:- =∫sin8xsinxdx Applying the Product-to-sum formulas,   sinxsiny=12[cosx-y-cosx+y]…

Q: 1- sin x cos x 1- sin x cos x

A: We can solve as follows

Q: sinx-cosx = sin x cos x tan xcscx-secx cot x

A: Given, To prove sinx -cosxtanx cscx-secx cotx = sinx cosx We have the formulas cscx = 1sinx tanx =…

Q: secl tann

A: Use first principle rule and prove that  dydx=sec x tan x, if y=sec x

Q: Verify the identity.

A: To prove - sin2x+sin6xsin2x-sin6x = -tan4x cot2xProof - Taking left hand side of the given identity…

Q: (csc x- cot x)2 = 1- cos x %3D 1+ cos x

A: To prove: (csc⁡x−cot⁡x)2=1−cos⁡x1+cos⁡x We know that csx = 1sinx, cotx=cosxsinx

Q: 3. lim X-0 sinx sinx-cosx 4. lim x- 5. lim x(cosx-1) sinx-x

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Q: 3(cos a- 1) sin x cos – sin x O 3 cotx+3 csc x O 3 tanx+3 csc x O 3 tan x +3 sec x O 3 cot x +3 sec…

A: Here we have to find the value of    3(cos2x -1)/(sin x cos x - sin x)

Q: Establish each identity.

A: To Solve the given identity By using the trigonometric ratio :- 1+sin θ1-sin θ = sec θ + tan θ2

Q: sin(3x) cos(6x) – cos(3x) sin(6x) = -0.6 X =

A: There is trigonometric identity sinA-B= sinAcosB-cosAsinB

Q: sin x 1+ cosx 1+ cosx sin x 2cscx 2secx 01

A:

Q: sin x-cos x sin x cos x 1. tan x csc x-secx cot x II

A: Hi,  As per bartleby rules, we are supposed to do only one question at a time.  Kindly repost the…

Q: sin(2x)ln(sin²x+1) iv. (sin²x+1)

A: Given:    ∫sin2xlnsin2x +1sin2x +1 dx

Q: Use identities to simplify each expression.

A: cosxsin2x+cos3xsecx=cosxsin2xsecx+cos3xsecx=cos2xsin2x+cos4x…

Q: sec x sin x sin.x Cosx 1 – cosx sin x sin.x 1- cos.x

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Q: SIn (-x) In x if x 0

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Q: sin x 1+cosx 2csc x= 1+cos x sinx

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Q: 2. cotx = sin xsin π 2 --x+cos² x cotx

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Q: sin x 1+ cosx 1+ cosx + sin x 2cscx 2secx 01

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Q: cot(-0)+tan(0-) TT = 1 – 2sin² (0) tan(-0)+cot(-0) |

A: The given statement is: cotπ2-θ+tanθ-π2tan(-θ)+cot(-θ)=1-2sin2θ

Q: sin x COsx Prove 2tanx secx - - cosx 1+ sin x

A: We use the identity sin2x + cos2x=1

Q: Verify the identity.

A:

Q: tan x -cot x sin x cos X %3D tan2x-cot2x 1-sin x %3D 1+ sin x 4. (sec x- tan x)² 3.

A: 3)tanx-cotxtan2x-cot2x=sinxcosxL.H.Stanx-cotxtan2x-cot2x=tanx-cotxtanx+cotxtanx-cotx=1tanx+cotx=1sin…

Q: 1 - sin x           1 - sin x ---------   -   ----------- = 4 secx tanx 1 - sin x           1 +…

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Q: 1. f(cos 3x - x²) (sin 3x- x³)5 dx 2. f cos² x (tan x) (sec² x − 1) dx 3. f tan x (sec² x - 1)(sec²…

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Q: sin² x x cos²x csc²x-cot²x 4csc²2x

A: This is the question from other math, finite math and counting and identity.

Q: VERIFY THE IDENTITY

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Q: √3 csc x − 2 = 0  tan 3x(tan x − 1)  sin2 x = 3 cos2 x

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Q: 2 sec² x – 2 tan² x = sin 2x sec x b) sin (- x) cot ( + x) = – sin x a) CSC X

A: We will use  secx=1cosx,tanx=sinxcosx and  sin(π2-x)=cosx,cot(π2+x)=-tanx

Q: sin x 1+ cosx 1+ cosx sin x 2cscx 2secx 1

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Q: sin 2x cos x + cos 2x sin x = −1

A: sin(x+y)=sin(x).cos(y)+cos(x).sin(y) if sin (θ)=-1       then  θ=(2nπ+3π/2)  where n is an integer

Q: sin 2x+cos2x+1 1- Prove cot x sin 2x-cos 2x+1

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Q: sinx 0 cosx –sinx cosx is non singular for all values of x. 1 lect one:

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Q: sin 3x-sin x Prove tan x. cos 3x+cos x

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Q: 1+sin θ=(sec θ-tan θ)^2 +1

A: To evaluate theta.

Q: sec x - sec x sin2x = cosx sin²x sinxtanx

A: Given query is simplify the expression.

Q: 1-secx/tanx - tanx/1-secx

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Q: COs x + sinx COS x - Sln x - sin = 2 tan 2x %3D Cos x- sin x COS x + sin x

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Q: Integral of Sin^5 x dx

A: We need to find We know that

Q: sin7x 1. lim x→0 2x 1-cosx 2. limx→0 3.limx→0 sinx

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: sin(5x)+ sin(3x) tan(4x)= cos(3x)+ cos(5x)

A: We have to prove the identity

Q: cos 2x-sin x 4. -(tan x +secx) %3D sin 2x - cos x

A: Given: prove that cos2x-sinxsin2x-cosx=-tanx+secx For verifying given expression, we solve left hand…

Q: sin x cos x 1 1. - sin – sin x 2 sinx cosx 3 cosx -1

A: The solution is given as

Q: 1- sin(-x) 11. cos x+ cos(-x)sin = sec x

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Sin(arctan(1/2)-arcsin(1/2))=

A: tan-1x=sin-1xx2+1

Q: sin x-cos x 1. tan x csc x-secx cot x sin x cos X 1 1 2 2. cscx-cotx cscx+cotx tan x 3. cos4x - sin4…

A: 1. sin x-cos xtan x csc x-sec x cot x=sin x cos x2. 1csc x-cot x-1csc x+cot x=2tan x3.…