100 Q2) By use Trigonometric Substitutions find f dx 36+25x

Q: → find period of 8- @yotan 2 y. 5 cos 1o* 10 yo 11

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Q: Use the fact that sin z = sin x cosh y + i cos x sinh y to find all roots of the equation sin z =…

A: Find all the roots of the equation sin z= cosh 4.

Q: find all the solutions in the given interval. 2sin^2theta = 2+ costheta for theta [0, 2pi]

A:

Q: 2.) Evaluate using wallis formula 1-x² dx and let x= sine

A: Given ∫01x41-x2dx By using 1-sin2(x)=cos2x And Wallis formula…

Q: 2 sin*x · cos³x dx

A: To evaluate ∫0π2 sin4x . cos3x dx using WALLIS formula.

Q: 1 dr /(4r² – 9)*

A:

Q: If n is an odd natural number prove that I =, xsinnx dx = sinx 2.

A: Consider the given: It is given that n is an odd natural number, Take n = 1,Substituting n=1 and…

Q: How many solutions does  sin2(4x)=1/2  have in the interval (0, 5pi/8) ?

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Q: 2. tan x sec² x dx = when we set u(x) = and du = 00

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Q: By expanding sin (2x + x) and using double angle formulae, show that sin 3x = 3 sin x – 4 sin'x.…

A:

Q: Show use of variable substitution to factor and solve over (0,2pi) when necessary. 4. 6sin2 θ -…

A: →Let sinθ = x and solve the quadratic equation.→We will get two factor after factorization.→Use…

Q: 9. Find the other trigonometric functions of 0 of sec 0 3 and 0 does not terminate

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Q: Show use of variable substitution to factor and solve over (0,2pi) when necessary. 3. 2tan2 θ +…

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Q: How many solutions does sin2(4x)=1/2 have in the interval (0, 5pi/8)?

A: Answer

Q: Find the exact value of sin 5π/12 using the fact that 5π/12 = π/6 + π/4.

A:

Q: Find the positive value of x that satisfies x=3.800sin(x). Give the answer to four places of…

A:

Q: In the given question, verify the identity:-   cosh2 x =- 1 + cosh 2x/ 2

A: To verify: cosh2x=-1+cosh 2x2

Q: | 6. Use a trigonometric substitution to evaluate x³√x²-4 dx.

A: We will find integral using  trigonometric substitution.

Q: 16 Using trigonometric substitutions, SS- dx is equa xV16-x2

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Q: Solve the ea mation for solutions lin the interval Sinaxt sinx=0

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Q: By trigonometric substitution 3.x -x+1 (x+1)(x² +2x +2)

A: First by partial fraction separate the integral and then calculate.

Q: Final exact and simplified numerical values which applied to Fundamental Theorem F(b) and F(a) must…

A:

Q: Evaluating √√9-x² dx using trigonometric substitution will (A) 18 18 [*/2 cos²0d0 0 **/2 B 0 Cab…

A:

Q: Which of the equations can be used to find the value of x A) Cos 30= x/5 B) Tan 30= 5/x C) Sin 30=…

A: Given,

Q: Evaluate using Wallis' Formula: So sin® x cos4 x dx -Tt/2

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Q: . Solve for x. Then solve for y. othod from

A:

Q: e in Q2, find Sin (2e) with 6 If csce -6,

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Q: If f(0) = 2 sin 0 - cos 20, find f Do not use a calculator and express each exact value as a single…

A: We have to find the exact value of trigonometric function at the given value.

Q: Find V1+ i. Hence show that tan 1/8 = v2 – 1.

A: The aim is to find the square root of 1+i. Let 1+i=x+iy. Squaring both sides will result in:…

Q: Q2/Prove that cos 17° + sin17° = tan62° cos17° - sin17°

A:

Q: 8. Use Trigonometric Substitution to evaluate x'V4+x?

A: We will use standard formulae of trigonometry.

Q: In right triangle ABC, sin B 2x-0.72 and cos C 3x- 0.98. Solve for r. %3D %3D

A:

Q: 3) Solve the Trig equation: tan(40) = 1 %3D

A: We have to solve given trigonometric equation I have explained in details in step 2 please check

Q: 7/3 tan'x secºx dx 30.

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: (B) Evaluate | tan (7x +1) sec³(7x +1) dr.

A: We will use simple integration rules to solve this question.

Q: See attached image. Please provide a solution with a detailed explanation of steps.

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Q: Derve the Jrmula Cosh 2. Find dy Sor Sin ソー X-/ xp

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Q: /2 Evaluate using Wallis' Formula: sin5 x cos6 x dx

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Q: Caet tan(8) 1. with 8 in QL Find sx (20).

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Q: how many solutions does (cot(x)-4)(sin(x)-2)(3sin(x)-2)(sin(x))=0 have in the interval [0,2pi]

A: Given trigonometric equation is,

Q: 1. Prove that tan2x +1 = sec2x

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Q: Simplify to a single trigonomeiric ratio: cos(90°-x).cos(-y)- cos(180°-x)sin(-y). cos(360°…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: π/4 tan 0 If u= sec 0, then d0= sec 0

A:

Q: Find sin 2 x, cos 2x, and tan 2xfrom the given information. sinx=8/17, x in QII

A: We have given the value of the  trigonometric ratios of sinx  Sin(x) = 8/17

Q: /9-4х2 dx (Use Trigonometric Substitution) x2

A:

Q: How many solutions does sin(2x)=1/2  have   in  (0 , 5pi/6 ) ?

A: Solution = ?

Q: Find two angles in the interval [0, 360°) such that sin(x) = -0.61566 %3D

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Q: Show use of variable substitution to factor and solve over (0,2pi) when necessary. 4. 6sin2 θ -…

A: Solve by making factor

Q: The equation sinx= 1/2 has____________solutions in [0,2pie)

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.