7. Use Trigonometric Substitution to evaluate -1

Q: sec 270 %3D

A: We need to evaluate the exact value of the following trigonometric function sec270°

Q: 29. Show that sin x rif0<1 <2m.

A: Given a function sin x and 0&lt;x&lt;2π To show sin x&lt;x for all values of x such that…

Q: Evaluate tan(3 – 2i)

A:

Q: ) Prove cot 2 = tan u using the addition/subtraction formulas.

A: Given : cotπ2-u= tanu

Q: 1 and 31 16. 1/3

A:

Q: 6. Use a special right triangle to write tan 60° as a fraction. a. с. 1 1 b. d.

A: To find tan60°

Q: explain why arctan ( tan (3pi/4)) does not equal 3pi/4

A:

Q: 1- cos(2x) Vitcos(2x)

A: Solution to find the derivative of a function:

Q: Find the exact value of tan (75°). Hint: 75° = 45° + 30° %3D .

A:

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

A: Topic = integration

Q: Use a special right triangle to write tan60∘ as a fraction.

A: First we draw the triangle and then we assume every part of the triangle and using Pythagoras…

Q: 39. Write 16cos*x in terms of first powers of cosine.

A: Given           16cos4x

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

A:

Q: Use trigonometric substitution x = 3 sec 0, to evaluate 4xV4x2 – 9 dx . 2

A: The given integral,∫4x4x2-9dx

Q: 2. Make the substitution x = 5 tan(0) into the expression (25 + x²)3/2 and simplify. Leave your %3D…

A:

Q: dr 2. Use a trigonometric substitution to evaluate

A:

Q: Explain why tan 90° is undefined?

A: To Explain  why tan 90° is undefined?

Q: Use trigonometric substitutions to find dr.

A:

Q: Find the exact value of the sin(165∘)given that 165∘ =210∘− 45∘. Do not use any other combination…

A:

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: x³dx is equivalent to Using trigonometric substitution,

A: Given,  ∫ x3x2-4dx

Q: Let tan (8 ith ở in QL Find sec (2) - 16

A: Explanation and solutions is given below....

Q: It’s Pythagorean Theorem

A:

Q: Using trigonometric substitutions, S 16 xV16- X 1S equal to:

A:

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

A: We will use standard formulae of trigonometry.

Q: Find the exact value of the expression tan (4π/3 - π/4).

A: Trigonometry:      tan(4π3-π4)We know     tan(a-b)=tana-tanb1+tan a tan b

Q: x³dx U sing trigonometric substitution, is equivalent to

A:

Q: Prove tan ? 20° + tan ? 40° + tan ? 80° = 33.

A:

Q: Find the exact value of the expression. Show work.

A: There are multiple ways to evaluate tan 165° I have presented below one of them. Recall the famous…

Q: Evaluate without using a calculator.

A: Evaluate: tan-13

Q: What are the trigonometry identities?

A: We are asked to define what are trigonometric identities.

Q: Calculate the missing value. Use the Pythagorean Theorem!

A:

Q: Use trigonometric substitution with clear and complete solution.

A:

Q: 3. Evaluate the following using trigonometric substitution. Show all necessary solutions. dr (e) [*.…

A: To evaluate-  the given integral.

Q: explain why arcos (pi/3) is undefined

A: We first convert pi/3 to decimal

Q: In trigonometry, how do we prove an identity?

A: In trigonometry, we prove an identity by transforming the left side to right side by using the known…

Q: 4 (6) Use the reduction formulas to rewrite sin*(8x) as an equivalent expression containing terms…

A:

Q: intergral

A:

Q: Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. tan 42°…

A:

Q: Use an addition or subtraction formula to find value of: tan 75degree= (sqrtA)+1/ (sqrtB) - 1 A=…

A:

Q: Using an appropriate substitution | tan³x sec7xdx is equal to

A:

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: 43. 47. sin 8.

A: SOLUTION-

Q: Evaluate : de 6 + sin0

A:

Q: 90) |(tan 2z)? sec 2r dz 21) / dr

A: The given integral is, I=∫tan2x2sec2xdx=∫tan22x sec2xdx=∫sec22x-1 sec2x dx…

Q: Гесos 4x sin 4xdx eCo:

A:

Q: What is the value of sin-(sin c) where c = 1230°? %3D Do not enter the symbol.

A:

Q: Find the exact value of the expression. tan 25° + tan 110° 1- tan 25° tan 110°

A: We have to find the exact value of the given expression: tan 25°+tan 110°1-tan 25° tan 110° We know…

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.