Show that 1 + cot20 = cosec20 %3D

Q: Show that 1+cot2ϴ =cosec2ϴ

A:

Q: Expand sin (u +30 degree) and then simplify.

A: Given: sinu+30∘ we know that  sina+b=sinacosb+cosasinb

Q: ft= VTt tan t

A: Given:     ft=1+tan t9 Taking derivative on both sides    f't=ddt1+tan t19 Apply power rule:…

Q: secA + tanA is equal to

A: Given:  To Find: To simplify the given expression.

Q: Use trigonometric substitution to find 23 dx Vx+8

A: To find, I=∫x3x2+8dx Substitute        x=8tanθ⇒dx=8sec2θ dθ

Q: What is the indefininte intregal of Tan^-1(3x) / 1+9x^2 .

A: The given indefinite integral is

Q: Calculate x in degrees.

A: Given angle is 90° so

Q: Pind yl with im Picit differentir tion Cosと+ Sinxニ)

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative…

Q: Use a calculator to approximate tan 9.1845. tan 9.1845 = (Round to four decimal places as needed.)

A: We have to find

Q: Use a calculator to approximate the value arcsin (−0.39). Round your answer to two decimal places.

A:

Q: S sec4e tan30 de

A:

Q: Solve Jě cose dc

A: To find the following integration  I = ∫ ex.cosx.dx

Q: Use the Pythagorean Theorem to calculate the value of to 1 decimal place.

A: The length of sides of the triangle are  x and 22 Hypotenuse = 7

Q: TX dx

A:

Q: 1. Arcsin

A: (a) To find value of sin-1-12. We know that sin-1-x=-sin-1x Solving the given expression,…

Q: find: de So 2-cose using sediment theorem

A: Solution :-

Q: Sin 2Tx = Tycos 210 メ

A:

Q: Solve For 0LOL27 -sine%3DCOS o 2.

A:

Q: Show that la mn bm =Ø.

A: Topic :- Sets

Q: Evaluate without using a calculator.

A: Given  sec-123 The trigonometric identity used here is  secx=1cosx

Q: 50 cos 20 de

A:

Q: Find the Indefinite Integral. Sinx cossx xp-

A:

Q: 8. Find sec (30 deg), csc (225 deg),

A:

Q: 1. dx = In(5)?

A: ∫1k1xdx=ln(5) We need to find the value of k To find the value of k , first we integrate 1/x…

Q: What is the relationship of alpha when OA moves to OB

A:

Q: 6. Simplify the expression cot(sec -1x).

A: Inverse trigonometry

Q: Differentiate O y = arctan √3x

A: In this question we have to find the differentiation of y.

Q: sin 80 de

A:

Q: 6) sin e

A:

Q: Find maclurine seris sin

A:

Q: Evaluate: (cosh22r+ sinh²2r) dr

A: Our Aim is to evaluate the integral given below:-∫cosh22r+sinh22r-(i)

Q: Use FTC I to show that x" dx = 0 if n is an odd whole number. Explain graphically.

A: Given: show that ∫-11xndx=0 if n is an odd whole number we know that  ∫xndx=xn+1n+1+c…

Q: Give the exact value of CSC

A:

Q: The energy (in electron-volts) for a photon with a wavelength 738 nm is:

A:

Q: Find an approximate value for sin179∘.

A: Consider the given angle is x=sin 179o . Use the approximate formula for small Δx where  Let…

Q: Evaluate 1 tan |2x| dx 100

A:

Q: find approximetion to an 25 cotrect to three decimax Place

A: To find the approximation of the given number

Q: The energy (in electron-volts) for a photon with a wavelength 721.4 nm is:

A:

Q: dx (メ+)

A:

Q: Sinh SechG)

A: Given:      ∫sinh(x)esech(x)cosh2(x)dx

Q: Differentiate  (sinx)cosx

A: To differentiate this function , we will use the following differentiation formulas-…

Q: 5 dx

A:

Q: Derive the formula Cosh x

A:

Q: Each second, a star converts 1.3 × 10° tons of hydrogen into helium and energy in the form of gamma…

A: Introduction: The phrase "standard form" is used to describe the typical shape of a variety of…

Q: Can Cot(2 arccos x) be simplified?

A: The given expression is  cot(2arccosx)

Q: Entae akale VX+39 dx

A: We have to solve

Q: S(sech²(cosh3Ø)sinhø dø

A: According to question given :∫(sech2cosh3ϕsinhϕ dϕ

Q: sin“ 70 de

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

Q: [sin’ @ cos' Ode

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.