Sræsin(x³/2)dx= cos(x3/2) + C A 2 B) -을 cos(x3/2) +C ©-3/2 cos(x3/2 ++ C) C 2 D /xcos(x³/2) + C

Q: 2cos(2x)sin(2x)-sin(2x)=0

A:

Q: Q1/ Show that 3(sinx-cosx)*+6(sinx + cosx)²+4 (sinºx+cos°x) = 13

A: Note: We are entitled to solve only one question at a time. To Show:…

Q: Evaluate 3x cos(x2) da.

A: According to question,Given Integral,∫3x cos x2 dx

Q: cos 2x +1 sin 2x Prove that Please show proper steps sin 2x 1- cos 2x

A:

Q: Find the value of x  sin2x=sin600cos300-cos600sin300

A: Given,           sin2x=sin60°cos30°-cos60°sin30°

Q: What is the exact value of 2sin(x/2) * cos(x/2) if sin of x = 3/5 and cos of x = 4/5 ?

A: To determine the exact value of the expression.

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: limx→0 (1−cos(5x))/(1−cos(9x))

A: Used L'Hospital rule

Q: 2

A: Prove: cos²(x/2)=(sin²x)/(2-2cosx)

Q: EX-15- Prove that : a) Sec-'x= Cos- ! b) Sin-' (-x)=-Sin-'x

A:

Q: Verify the identity cosh2 x = (1 + cosh 2x)/2

A: We simplify each side using the formula of cosh(x)   Left side:

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

A:

Q: Evaluate [sin2xcos2x, dx 1 Acos4x+C 1 ® - cos4x+C B 1 -cos4x + C Cos 1 -cos4x + C

A:

Q: 2sin x -1 y = cosx +2

A: Basic identities of trigonometry and differentiation are used

Q: » find period of 8 ystan 4x @ y.5.cos.so* Cos 10X

A: Given y = tan(4x) Period = π/k where k is coefficient of x Therefore k = 4 Period = π/4

Q: Verify the identity. cos x = sin x sin 2x + cos x cos 2x

A: we have to verify the identity

Q: verify cos(3x) = 4cos^3 (x) - 3cos(x)

A: We know that  cos(A+B)=cosAcosB-sinAsinB Therefore cos(3x)=cos(2x+x)=cos(2x)cos(x)-sin(2x)sin(x)

Q: how does    2+2cos x                     sin x (1+cosx)     turn into     2(1+cos x)…

A: Given data is : How does 2+2 cosxsinx 1+cosx turn into 21+cosxsinx 1+cosx

Q: 2- tan²x + 1 + tanx secx = 1+sinx cos²x

A: To show that , tan2x+1+tanx.secx=1+sinxcos2x

Q: Express 2 sinx- v2 cos x in the form of Rsin(x – a), w

A: Given expression is   2 sinx -2 cosx

Q: Use th Start! 1- cos 2x

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

Q: Solve 4 tan x * cos^2 x = 1 for 0 ^ 0

A:

Q: 2. * 1 Add File 3. * 1 y = tan x + =tan³x 3 4. * y = = cos x 1 Add File y 1 cos³x 3 1 cosx

A:

Q: To evaluate sin*2x cos 2x dx , the identities to be used is/are: sin4x, 1- cos4x A 2 B cos²2x=1-…

A: Solution:-  This types of trignometric integrals can be solve by reduction formula of integral.

Q: Show that 3(sinx-cosx)*+6(sinx + cosx) +4 (sin r+cosx) = 13

A: Since multiple questions are asked, Answering first one. Repost with other question if you want to…

Q: solve for allvalues of x in the interval 0 ≤x≤2π:  2-2sin^2 x+3 cosx=-1

A:

Q: Verify. esc (x) [I-cos(2x)] = 2 sin (x) SC

A:

Q: How does ±√((csc^2x-1)/(csc^2x)) equal on of these: secx, cosx, sinx, tanx, cotx, cosx, or 1

A:

Q: coS(T/11)-cos(2t/11)+cos(3t/11)-cos(4Tt/11)+cos(5rt/11)=?

A: To determine the value of the below expression. cosπ11−cos2π11+cos3π11−cos4π11+cos5π11

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

A:

Q: y cos?£ 1-CUSE tanzz

A:

Q: provethat 2. 1- cosx +Sin'x

A:

Q: A force of F(x)=x2−cos(3x)+2, x is in meters, acts on an object. What is the work required to move…

A:

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

A:

Q: 2 cos x+3 cos x=2 2 Cos²,

A: Given,   2 cos2x+3 cos x=2

Q: Integrate x3 cos(x4)

A:

Q: Integrate cosx cos (x-a)

A:

Q: Prove 2tan x cos (3x) = sec x (sin(4x) - sin (2x))

A: Topic- trigonometry

Q: Find x so that sin 3x + 10 cos x+ %3D

A: Here we have to find the value of x. The solution is following.

Q: x where 3π/2 ≤ x ≤ 2π. 1 + sec²x = 2 + cos²x + sin²x

A: Here we use formula of trigonometric equation.

Q: Find , if da y = 3x cos4x 12x* sin4x – 10x cos4x None -2x4sin4x – 12x° cos4x -12x4 sin4x + 12x°…

A:

Q: 2 tan(2x) − 4 cos(x) = 0

A: Explanation of the solution is given below.... And solve the given equation.....

Q: Why sin^2 (x) + cos^2 (x) is cos2(x)

A:

Q: Prove: sin² x + 2 cos²x − 1 = cos²x -

A:

Q: Solve cos 2x + cos x = 0 for x if 0 < x < 2n

A:

Q: Find x where 0 ≤ x ≤ 2π. cos²x - cos x - 2 = 0

A:

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…