Use trigonometric substitution with clear and complete solution.

Q: fa(x)= {sin?. sis).

A: Given:- fn(x)=0x<1n+1sin2πx1n+1≤x≤1n01n<x

Q: Solve for all radian solutions. tanx-2cosxtanx=0

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Q: 2 + 4 dy

A: Topic:- integration

Q: What are the Trigonometric Functions?

A: If a function involves any trigonometric expressions, then that function is called Trigonometric…

Q: one 0° do 143. V9 – 02

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

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

Q: What are the basic trigonometric functions?

A: In a triangle , if we denote opposite= a, adjacent=b and hypotenuse= c

Q: True or False and explain why 1. One degree is larger than one radian.

A: A radian is much bigger than a degree. A circle has 2π radians (a little more than six radians). A…

Q: Use trigonometric substitution to do the integral 4x3 dr. VI² + 4

A: Topic = integration

Q: Find and simplify the exact area of a regular decagon inscribed in a circle of radius 6 inches.The…

A: To determine the area of regular decagon inscribed in a circle of radius 6 inches.

Q: By using tabular method, evaluate -3* sin(27r)d.r.

A: The integration by parts is done using the formula: ∫udv=uv-∫vdu.

Q: Use trigonometric substitution to find -dx 1+16x²

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Q: find the value of sin15 degree

A: Given : sin15°

Q: Explain how a right triangle can be used to find the exact value of sec ( sin ).

A: Consider the right triangle as Using Pythagoras rule x=52-42=25-16=9=3

Q: 3 (9-b²)ž By Trigonometric Substitution: S db b6

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Q: Use trigonometric substitubion to solve the intergral

A: Given that ∫22+10x+x2xdx

Q: What are the Trigonometric Identities?

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Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

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Q: Use the triangle method to simplify sin 2sec-1 2

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Q: Is sin2(0+1) zero or one?  Please explain

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Q: Find tan 15 degree

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Q: The dx can only be evaluated using trigonometric substitution technique. A True False

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Q: 03 do_de 143. V9 – 02

A: The solution of problem no (143) is given in the next steps.

Q: 4х-5 [24x -16x" ]* * dx 75/2 24х-16х

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Q: Integrate using trigonometric substitution

A: The given integral is

Q: Evaluate without using a calculator.     tan    -1 ( tan 30 degree )

A: From the given data

Q: Use a trigonometric substitution to calculate xVx² + 4 dx

A: Consider ∫x3x2+4dx, Take x=2tanθ, dx=2sec2θdθ So,…

Q: Explain how a right triangle can be used to find the exact value of:

A: Known fact: cossin-1x=1-x2secx=1cosx

Q: What are the 6 trigonometric functions of Ɵ for a triangle?

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Q: / √1 + x² dx X

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Q: 9-1 -dy

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Q: x³dx U sing trigonometric substitution, is equivalent to

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Q: Integrate using the method of trigonometric substitution, express the final answer in terms of the…

A: In this question we have to solve the Integration. Trigonometry Identity Used:-…

Q: Write in trigonometric form:

A: Explanation of the answer is as follows

Q: use trigonometric substitution to integrate

A: We have

Q: 13) y = arcsec 1

A: 13.giveny=arcsec1xwe know differentiation ofddxarcsecx=1xx2-1

Q: x³dx 3. Vx² – 9 2.

A: I have stated the used formulas in the solution.

Q: Stuck on finding the angles for:   sinx=- square root of 3, /2

A: Given information:The given equation is

Q: cercise 38 vestigate whether the sin x dx

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Q: How can you apply trigonometric identities to find other trigonometric values?

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Q: Which trigonometric functions do not have real zeros?

A: Given:Trigonometric functionsinθ , cosθ, tanθ, secθ, cscθ, cotθ

Q: Evaluate using trigonometric substitution

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Q: 2х— х2

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Q: 3dx xV4-x²

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Q: Solve for x in the right triangle shown.

A: Given, right triangle is

Q: Evaluate Va²-x²dx using trigonometric substitution

A: The given integral is I=∫0aa2-x2dx. The main objective is to evaluate the given integral using the…

Q: 3Vzdz Ja+2)*

A: Integration is the process to find the anti-derivative function of the given function. The…

Q: write down a trigonometric substitution which will make 4-x^2 into a perfect square.

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Q: 2) tan? (")- sec²() sec2() 4

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Q: Which trigonometric value is positive?

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