Use the power reducing formulas to rewrite cos^4(1/5x) without exponents.

Q: Approximate the value of √98 using the derivative.

A: Let us take the function: f(x)=xf'(x)=12xWe will take x=100at x=100f(x)=100=10f'(x)=12100=120

Q: Integrate tan^8 tdt

A: Given that, ∫tan8(t) dt --- (1) The given integral can be written as,  ∫tan8(t) dt=∫tan2(t) tan6 (t)…

Q: Simplify tan 0-sec²0|1.

A:

Q: 8. f(x) = tan(sin x²)

A: Given f(x)=tansinx2

Q: Find the root of the equation 2x=cosx+3, correct to three decimal places using iteration method.

A: The iteration method is another method to find the zero of a function with one starting point. For a…

Q: 14 nC AU Conc=

A: Defination: n(A∪B)=n(A)+n(B)-n(A∩B) n(A∩B): common area of A and B n(A∩B∩C):Common area of A,B and C

Q: Find the exact value of sec(-315°)

A:

Q: If log4(sinx)=A and log4(cosx)=B, what is the expression for log4[sin(2x)] in terms of A and B.

A:

Q: Evaluate ∫tan4 x sec4 x dx.

A: Using the Pythagorean identity we get:

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

A:

Q: Comvert to retangular coodinates. Use exct values.

A:

Q: Evaluate without using a calculator. sin−1(−1)

A: We have to evaluate: sin-1-1

Q: | 13 – 2x – x² dx 33.

A:

Q: +4)° x = sinh4t

A:

Q: A calculator has a built-in sinh-1 x function, but no csch-1 x function. How do you evaluate csch-1…

A: Evaluate: csch-15

Q: Verify the formulas by differentiation. ∫ sec2 (5x - 1) dx = 1/5 tan (5x - 1) + C

A: ∫sec25x-1 dx=15tan5x-1+C

Q: sin 70 de

A: Use Integration by parts

Q: Write 9 sinh(x) + 4 cosh(x) in terms of e* and e*. +

A: Answer is given below...

Q: Find the value  sin100sin300sin500sin700

A:

Q: EVALUATE sin4x oos5xdx

A: Given: ∫sin4x cos5x dx To evaluate: The given integral.

Q: lim +y

A: We find limit of given function

Q: How can I find tan inverse of 3/2 or any number larger than 1 without a calculator?

A: We have to find value of arctanx,any value of x which is greater than 1.

Q: So inverse sine would be a/2 not square root of x^2-64/x.

A:

Q: Find the indefinite integral and check the result by differentiation. Step 1

A:

Q: sinhx+ coshx dr60

A:

Q: compute the higher derivative

A: Find first derivative using chain rule

Q: Show that the equation has exactly one real root.   2x -1 - sinx  = 0

A:

Q: sin 60⁰ tan 90⁰

A: These are standard angles in trigonometry

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: Consider the given equation. logtanθ=logsinθ-logcosθ Take all the value right side of the equation.…

Q: Calculate Sin(5x)=-√(2)/2

A:

Q: sin 80 de

A:

Q: 7. lim a sin(1/a) =

A: In this question we need to find the limit of given function

Q: 5. [tan³x sec³x dx

A:

Q: .. Explain why the expected response for arcsin(-) =- 117 and not 6.

A:

Q: Suppose th Such that Passes thro Sine3=

A: It is given that the angle θ is in standard position and it has the least positive measure passes…

Q: Use trig identities to integrate: sinxsec’xdx

A:

Q: 1° cos(3r) dr COS

A: Given, ∫x2cos3xdx  We have to evaluate the integral.

Q: Express cos4t in terms of values of the cosine function with exponent 1

A: Given,         cos4t

Q: Determine the values of θ if 0 ≤ θ ≤ 2π given that cosx = − 0.3178. Explain the process.

A:

Q: Evaluate sin2xlogtanx dx

A: Given:  Let I=∫0π2 sin2xlogtan x dx To Find: To evaluate the given integral.

Q: (1-x²)-1/2 Arcsin x

A: We will integrate the given function using simple Integration method.

Q: Use the power reducing formulas to rewrite sin*(2x) without exponents. sin (2x)

A: Given sin⁴(2x)

Q: tan(t) sec(t) – cos(t) Simplify to a single trig function. |

A: Please see the answer below

Q: Use a right triangle to write csc(arccos(3*x/2)) as an expression of x that does not involve trig or…

A: Given:The expression csc(arccos(3x/2))

Q: What are the sum and difference identities and how can they be used to find the values of various…

A: Given problem is solved below in detail.

Q: Evaluate tan (8x) sec*(8x) dx.

A:

Q: tan(t) Simplify to a single trig function with no fractions. sec(t) — сos(€)

A:

Q: Write 9 sinh(x) + 4 cosh(x) in terms of e and e

A:

Q: sin“ 70 de

A: We have to find indefinite integration of sin⁴7x dx.

Q: Use definition of hyperbolic function to prove that 2 sinh x cosh x = sinh 2x. Hence, solve the…

A: