9. Prove that | sin n0/sin 0|

Q: cosh 1+j T 2 * T sin 1-j- 2

A:

Q: Evaluate: cos [sin cos[tan' +4 sin sec (" )

A:

Q: what is the absolute extrema point(s) of f(x) = e1-cosx on [ -pi/2 , pi ], if there are any?

A:

Q: 6. By using u = tan 0, evaluate | tan 0 sec*e de .

A:

Q: العنوان solike Ъ sin (3x) cos² (5x) dx 2 8 tan ³ x dx >

A: First, we need to break down the problem into two separate…

Q: Which hyperbolic functions are increasing on their domains? A. tanh x and cosh x are increasing on…

A:

Q: S sin x In(1 + sin x) dx

A: Given,  ∫  sin x ln(1+sin x)dx

Q: 2. Find [cot (x)sin* (x)dx

A: First simplify then integrate

Q: 3. Consider the function f (x) = sin² x + sin x on the interval (0,2n). a) Find the open interval on…

A: The given function is fx=sin2x+sinx on the interval 0,2π. a) Obtain the first derivative of the…

Q: B) prove du d 1. sec u = secu tan u %3D dx dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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

A: Given,           coshx-sinhxsinhxcoshx=2

Q: Differentiate a $sin "(z) with respect to sin x.

A: We will find out the required value.

Q: State the Mean Value Theorem. Use it to show that for all x ≥ 0, 0 ≤ tan^−1 x ≤ x. [Hint: Use Dx…

A:

Q: 16) Prove the 1+ tan?(u) = sec2(u).

A:

Q: 10. Integrate the function. 8 ip- 1+ 641 2 sin" 8 2 2 tan- 8 2 tan" 8

A: We have find the integral.

Q: Prove that: Sin'x+ cosx=I

A:

Q: The f ²-3)³ dx is equal to x2

A: Given: I=∫x2-33x2dx For evaluating given integral, first we simplify given expression then integrate…

Q: 1 Evaluate /- dx sin(ln x)

A: We have to evaluate the integration: ∫1x sinlnxdx Here we will use substitution method since…

Q: 1. Find the exact value of x if 0<x<270 degrees 2cos^2x =1-sinx (Non-anonymous questionO) *

A:

Q: Compute * sin x dx. x4 + 1 p.v.

A:

Q: Use the addition formulas for sinhx and coshx to prove that tanh(u+v)= tanhu+tanhv/ 1+tanhutanhv

A:

Q: Prove that, Cosh(A+B) = CoshACoshB + SinhASinhB. Deduce a similar expression for Sinh(A+B)

A: We have to prove thatCosh(A+B) = CoshACoshB + SinhASinhB.Also we have to deduce a similar expression…

Q: S sin x In(1 + sin x) dx

A:

Q: The derivative of sec² 2x (cos² r - sin² x) with respect to a is O2 sec 2x tan 2x O4 sec² 2x cot 2x…

A: Find the derivative

Q: :: Evaluate: S sin 2x sin x dx 1/3 sin'x + c 1/3 sin'x +c 2/3 sin'x + c d. 2/3 sin'x +c a. с. b.

A: Given: ∫sin(2x)sin(x)dxWe know that sin(2x) =2sin(x)cos(x)Then…