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Q: in the form Acos(x+B) 2 Write 6 cos x+8 cos x--

A: Given 6 cos x + 8 cos x - π2  To write:  6 cos x + 8 cos x - π2  in the form A cos ( x + B)

Q: O 5. If 90° < 0 < 180° and cos 0 = -, find sin 3 3 EATT O 3/11 11 11

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Q: 4. Which of the following statements are true? L.The range of y= sin' z is (0, =). IL. The range of…

A: We are asked to find which statement is correct.

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A: Use basic identities of trigonometry

Q: Suppose that cos e = 5/13 and 37/2 < e < 2n. (a) Compute sin 8. (b) Compute cos 20 Hint: cos 20 =…

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Q: Find sin(즐), con(쓸). and tan from the given information. 2. cos(x) 24 180° < x< 270° 25 7 sin) = 2 5…

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Q: Given that tan² O +1 00|m O ± IN 11 8 000 = 100 8S 3 8, what is the value of sec e?

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

Q: 10. Find sin 6, given that csc0= а. 12 12 b.- 2 c. 3 3

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Q: 4. Express the following as a single trigonometric ratio: a) 4sin(2x)cos(2x) b) 6cos? 3

A: We have to express the given trigonometric ratio in a single trigonometric ratio.

Q: We have 27 Cos (u) du= and converting back to an expression in X qrues us

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Q: 6. Find, without using tables, the values of Cos x and Sin x, when Cos 2x is: a) 1/8 , b) 7/25 , c)…

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Q: 6 The value of cos¹ 30sin³60 de is 0

A: It is known that:  sin2x=1-cos2x∫xndx=xn+1n+1+C

Q: Express cos K as a fraction in simplest terms.

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Q: 4. If cos A = 5/7, then sin B = ? %3D O 7/5 O 5/7 O 2/7 89 2/7

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Q: 2) What is the cos Z? Express fractions in the lowest terms. NO DECIMALS 40 Y 6. S 41

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

Q: 87 cos e de 4 O 0 O 6

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Q: 4. The definition of cos e using right triangles applies when (choose the correct answer): (b) 0 < 0…

A:

Q: Which of the following is equivalent to 4 cos? x + 8 sin? x +4 tan? x sin? x? O 4 tan? x -4 4 sec2 x…

A: Given 4cos2x+8sin2x+4tan2xsin2xThis can be written as 4cos2x+4sin2x+4sin2x+4tan2xsin2xWe know that…

Q: 7 4 CO 5 3.

A: we have to find left hand limit and right hand limit if both equal  then limit exist

Q: What is the exact value of sin a) O ㅇ 1-1 ㅎ 2 Jo c) 0.7071 O d) 1 굶 3T

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Q: 7. Use the table on page 311 or a scientific calculator to complete the statements. b. cos 57° e.…

A: To find sin(240) in scientific calculator first set the calculator to degree mode and type sin(24)…

Q: 18. Assume that sin(x) + cos(x) = 1/4. .3 What is the value of sin (x) + cos°(x)? O 5/26 11/32 O…

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Q: 15. Σ sin?k k3 k=1

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Q: In ДАВС, АВ 1 ВС, АВ 15, and BC 8. Then the exact value of sin C is

A: Given :            In ∆ABC, AB ⊥ BC            AB = 15 and BC = 8   To find : Value of sin C

Q: 3. Determine the exact value of the following. (K) (7n a) sin

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Q: 6. В 11 A In right triangle ABC above, what is sin A? sin(A) =

A: We have given a right angle triangle ABC sinA=perpendicular/hupotenuse  sinA=BCAB sinA=911

Q: Given ∆JKL, sin K= , cos K = , tan K = \

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Q: Given ∆ABC, sin B and cos B.

A: Given, △ABC We need to compute the value of  sinB and cosB.

Q: Which of the following is symmetric with respect to the line 0 Or = 2 cos 20 O p2 = 2 sin 20 Or =…

A: which of the following is symmetric with respect to the line π/2.

Q: please answer all the parts

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Q: 7) Which of the following is the proportion used to find the value of x? 5. 489 tan 48 =x/5 O Cos 48…

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Q: d) For parts (d), (e) and (f), suppose u is in the interval (π/2 , π) and tan(u) = -2 Calculate…

A: Given,          tanu=-2

Q: Which equation can be used to find JL 27° K 13.6 cm 7. O cos(27) = # cos(27) = 114 O sin(27) = # O…

A: It is given that, We know that the side in front of the angle is Perpendicular and longest side is…

Q: 5. Evaluate sin?(e3-/ 10378) +cos?(e3-T/ 1037r/8) =?

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Q: Given tan A = -% and cos A < 0, determine sin A. O 4/5 O 3/5 O -3/5 O -4/5

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Q: 1 Given that sin a = and cos b 3 , with a and b both in the interval 0, 7. Find sin(a – b)? O 4-6/2…

A: We use Trigonometry identities and ratios Sin(a-b) = sin (a) cos( b) -cos( a) sin( b)

Q: 1. Which is the value of sin? 51° + cos? 51°? undefined O 1 O -1

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Q: 10. Use the formula cos(2a) = 1 – 2 sin? æ to find cos , if sin O v2 2 O v? 2 O_1 2

A: Given that       cos(2x) = 1 - 2sin2(x)  and sin(pi/4)=√2/2 Here we have to find cos(pi/2).

Q: 1. Use the triangle to the right to find the following (as a fraction and decimalE a) sin ZP d) sin…

A: We have given a right angled triangle PRQ.  We have to find the following trigonometric ratios.

Q: 5. Select all that are true. (xª)° = rab sin? 0 + cos? 0 = 1 V2

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Q: Find the areas of the regions . 1. Inside one leaf of the four-leaved rose r = cos 2u 2. Inside one…

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Q: 29. If sin (a) 3 5 -34 and cos<0, then tan = = 3 (b) (c) (d) 4 3 六

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Q: If tan A =ntan B and Sin A :m sin B. psove that co s A: m²-1 2.

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Q: 7- The value of (tan³8 + tan³0) e-ten³0 de is. b) 5/2 c) 1/4 0 a) 1/2 d. 5/4

A: The objective is to find the value of ∫0π2(tan3θ+tan5θ)e-tan2θdθ.

Q: What is the approximate value of tan (3)? O-3.078 O 0.033 O 1.083 O2.468

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Q: 7. use the Pythagorean Theorem to find the value of sin 0. 24 Given tan 8= 24 sin e = 25 A) 25 sin e…

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Q: 94) Find the exact value Cos lutv) that 4=5 구 gven -3,4n Q1 and v in 03) tan and cos

A: Topic - trigonometric Identities

Q: 87 cos e do %3D O 4

A: In this question we have to evaluate the Integration.

Q: Suppose s is a real number such that sin s = - and cos s > 0. Find cos s

A: Given                     sin(s)=-35  and cos(s)&gt;0…

Q: 5.) Select which ratios are equal to cos(x). A XO to C a. sin(y) b. sin(90-x) c. cos(90-x) d.…

A: We need to find which ratio is equal to cos(x)

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.