S tan33x sec*3x dx

Q: Prove the identity. cos (x+y) =1- tanx tany cosx cosy

A: Given L.H.S is cos(x+y)cosx.cosy We know that cos(a+b)=cosa.cosb-sina.sinb substituting the formula…

Q: Find the sine transform of 1 and deduce that et - eT TLX F, (cosech Tx)= 1 tanh (p/2).

A:

Q: sec 3x tan² 3x dx

A:

Q: Use a trigonometric substitution to evaluate (x+3)' -dx. (7-6x-x*)"2

A:

Q: Find the first derivative: y = 3 arcsin(cos 2x) %3D O-7 O -8 O -4 O-6 O-5

A:

Q: d 1 Use implicit differentiation to prove (arcsin a] %3D 1-a

A: The detailed solution is as follows below:

Q: Prove the identity. cosx sin (x+y) – sinx cos (x+y) = sin y %3D

A:

Q: Express tan a using x. 3

A: We have the right-angled triangle. Let us label the small triangle ABC, the big triangle ABD and the…

Q: L[sin bd]- show that

A:

Q: Evaluate the integral ∫sin x/4 cosx/3dx.

A:

Q: Evaluate ∫tan4 x sec4 x dx.

A: Using the Pythagorean identity we get:

Q: 7/3 x tan (x) dx 2

A:

Q: find show that Q Coshz =CoshX Cosy+isin hx Siny

A:

Q: Use the knowledge of the Mean Value Theorem to prove the trigonometric identity x – 1 arcsin 2…

A: In order to prove the identity, we need to consider a function and by using mean value theorem we…

Q: Prove the identity. cos (x+y) 1- tanx tany cosx cosy

A: We need to prove the following identity cosx+ycosx cosy = 1-tanx tany

Q: Prove the identity. cos (x-y) 1+ tanx tany cosx cosy

A: cos(A-B) = cos(A) Cos(B) +sin(A) sin(B)

Q: Calculate fsin³ a cos° a dx.

A: Let cosx = t Differentiate on both side   - sinx. dx = dt    sinx. dx =  - dt

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

A: Given ∫sec5x tan7x dx

Q: The dx can only be evaluated using trigonometric substitution technique. A True False

A:

Q: Use th Start! 1- cos 2x

A: Given:1-cos2x/cos2x To simplify we use some trigonometric properties

Q: 1. tanxsins + cosx = secx

A: using trignometric identities:-

Q: Find a suitable substitution for evaluating ∫tan x sec2 x dx andexplain your choice.

A: we have to integrate the following integral using a suitable substitution. ∫tanx.sec2xdx

Q: Use the De Moivre's Formula Prove: Express tan 40 in terms of tan e.

A:

Q: 1 2. - + tanx = tanx sinxcosx

A:

Q: sin100

A:

Q: The proper transformation for sin²x to make the f sin²x dx readily integrable is {A} 1- cos²x {C}(1-…

A: Given the query is to find the correct option of integral.

Q: cos(3x)dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3. Prove the identity tan * COS v t CSC x Sinx=2sinx

A: Prove the identity

Q: Prove that: sinhx + coshx = e* %3D

A: we have  sinh(x)=ex-e-x2cosh(x)=ex+e-x2

Q: Use the substitution t= tan to show that secx+ tanx = tan (4+3). %3D

A: We have to prove using substitution t=tan(x/2).

Q: S cos3 x sin* x dx

A:

Q: list the three transformations being applied to f(x)= 4 sin(4(x-5))+5 parent function: f(x)=sinx

A: To find- List the three transformations being applied to fx = 4sin4x - 5 + 5.  Parent function: fx =…

Q: Evaluate the integral sin dt. sin dt%3D

A:

Q: Evaluate : [(Vtar tan x+Vcot x )dx

A:

Q: Prove the identity. TC cos = tanx %3D cos (T+x)

A: To Prove:

Q: dx Evaluate

A: ∫0919+x2dx

Q: Prove the identity. cos (x+y) = 1 - tanx tany cosx cosy

A:

Q: Evaluate sin integral (4x) cos(5x) dx

A:

Q: 1. gx-) = - โ -เ sin 2x X< L2x

A: Given: gx-π=0x&lt;π12sin2xx≥π To find: Solution

Q: 3 sec x tan xdx

A: ∫π4π3secx tanx dx

Q: tan²x dx, can be evaluated by using trigonometric transformation . A True False

A: The given integral is: I=∫sec5xtan2xdx Use the derivarive: ddx(secx)=tan2x

Q: The trigonometric integral [sec² x (tan³x - 2 tan² x) dx is equal to

A: SOLUTION-

Q: 3 dx 23.

A: Given:

Q: Find the sine transform of and deduce that TUX e 1 tanh (p/2). |(2x) F, (cosech rx) = %3D

A:

Q: 7) Find the exact value of the Tan t. %3D

A: Find the exact value of tan(π) is,             tan(π) = sin(π)/ cos(π)            We know that,…

Q: Find the integration of the function given using Transformation by Trigonometric Functions. S sin*x…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Prove that _ d tanx = Sec'x.

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.