What is the equivalent of the given expression below in terms of sin y? csc²y – 1 cos y coty

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Q: Simplify the following quantity. Draw a triangle in an appropriate quadrant. -1 (given x> 0) cos 2…

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Q: Find the exact value of the expression below sin (sin ¹(-)) O a) √3 2 b) √2 c) 0 ○ d) 1 e) undefined

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Q: Which is an equivalent expression for sin K

A: The Taylor series expansion for any function fx is fx=fa+f'a1!x−a+f''a2!x−a2+.....

Q: 4. In right triangle ABC, mz B # mLA. Let sin B =tand cos B = h. Write the expression that…

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Q: cos2e sin20 + csc 0 sin e

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Q: Completely simplify the following trigonometric expression: [2sin(x)+cos(x)}? +[2cos(x)– sin(x)]²…

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Q: What must be the value of A so that cos(x + y) – cos(x – y) = A sin æ sin y? O 1/2 O -1/2 O -2 O no…

A: Using the formulas of cos(x+y) and cos(x-y)

Q: What must be the value of A so that sin(x +y) – sin(x-y) = A cos e sin y? O -2 O 2 O no correct…

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Q: Suppose that mZX does not equal m ZY. Y X Complete the following. Part 1: Use x, y, and z to fill in…

A: Our objective is to solve.

Q: Simplify  1/cos a 1/sin b

A: we know that  1cosθ=secθ1sinθ=cosecθ

Q: Reduce the trigonometic expression below to an algebraic expression written in terms of x.…

A: Given:The trignomentric expression is  sin(cos-1(x2−1)).

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A: Solve the following

Q: 3VI cos

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Q: What is the equivalent of the given expression in terms of sin y? * csc?y – 1 cos y cot y

A: The trigonometric ratio gives relation among various side and angles of any right triangle . The…

Q: 1+cos5x 4. Evaluate y'for y = and simplify the answer sin5x

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Q: Evaluate without using a calculator. (:). sin cos Previe TI Enter your answer as a number (like 5,…

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Q: Verify the identity. (Simplify at each step.) (1 + sin a)(1 – sin a) = cos? (1 + sin a)(1 - sin a) =…

A: Simplification

Q: Evaluate the following expression when x is π/6. Use exact values. cos( x + pi/2)

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Q: LME. You can use dð = – In csc 0 + cot 0 + C, when necessary. sin 0

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Q: 3. Simplify the following expression completely: (sin x + cos x)² – 1

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Q: Write the given expression in terms of x and y only. sin(sin-(x) + cos-1(y))

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Q: What value of 0 makes cose = sin70° a true statement? %3D A) 20° B) 40° C) 70° D) 90°

A: Use the property of trigonometric ratios: →sin(90°-θ) = cosθ→cos(90°-θ) = sinθ

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Q: Simplify the expression. cos?( – s) V1- sin?(z) = %3D

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Q: Simplify sin e cos e tan e 1 tan?0 sececote

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Q: Simplify the expression sec⁡ x cot ⁡x−cot⁡ x cos ⁡x .

A: sec x cot x - cot x cos x = ( 1/cos x). (cos x / sin x)   - (cos x/ sin x). cos x = sin x -…

Q: ·를 sin' X V cos x

A: This question is related to definite integration, we will solve it using given information.

Q: Evaluate the following expression. Give your answer as an exact value. -1 sin COS 3 %3D

A: We have to evaluate the expression.

Q: Let sin t = a, cos t=b, and tant=c. Write the expression in terms of a, b, and c. 12 cos (-t)- cost…

A: Trigonometric functions:- The trigonometric functions are real functions that relate an angle of a…

Q: What is the equivalent expression of sin ( - x)+ sin ( +x)? O a) cos (z) O b) - 2 c) d) V2 cos (z)…

A: The given expression is sinπ4-x+sinπ4+x

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Q: If sin A = where 0 < A < and cos B = where <B< 2n, fnd the exact, simplified value of Cos (A - B).…

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Q: Evaluate sin?x Cosu t Sin

A: Integration    Sin2 x/(sinx+cosx)

Q: a) Simplify the following expression. cos cos '(2x)+ si

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Q: Rewrite the expression below in terms of sin(0) and cos(8). (Simplif sec(e)(1 + tan(0)) sec(0) +…

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Q: sin? x + 5 sin x + 6 = 0 f. 2 cos? x = 1- sin x e.

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Q: 4. In right triangle ABC, mz B # mLA. Let sin B = t and cos B = h. Write the expression that…

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Q: Simplify. (a) cos e (b) sin e

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Q: Which is an equivalent expression for sin K? 11

A: Our Aim is to find sin (K) in the given triangle below:-

Q: What is the simplified form cos A+cos B sin A-sin B sin A+sin B cos A-cos B O 1 O sinA cosA no…

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Q: TT The expression 4 sin w/ IT cos 6. simplifies to 1 V3 2

A: Option (B) is correct

Q: Write the given expression in terms of x and y only. sin(sin-1(x) + cos-1(y))

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Q: Vrite the expression in terms of the second, for 0 in the tan 0, cos 0 with 0 in quadrant II

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Q: Perform the indicated operation and simplify the result. 1 1 csc?e csc *0 2, sec-0 1 What does 1…

A: Given query is to simplify the trigonometric expression.

Q: multiply. Leave the answer in trigonometric form. 8(e05105+isinlos°). 4(cos 40° +(sin 40°)

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Q: 1+cos 0 V1- cos 0

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Q: Evaluate the following expressions. sin 1 COS tan cns ) (), Add Work

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Q: Evaluate the expression below without using a calculator. sin(2 Sin 2 cos-1 V 26 26

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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.