If tanA= 5/12 with A in QIII Find sec(2A)

Q: The derivative of any constant is 0. The well-remembered triq identity tells us that sin2(x) +…

A: To verify that sin2(x) + cos2(x) is a constant, we need to show that the derivative of sin2(x) +…

Q: Find the value of x in degrees: sin x = 0.8766

A: The sine function is positive in the first and second quadrant. We can use inverse sine function to…

Q: Find sin e and cos e if the terminal side of 0 lies along the line y = 3x in QI. sin e - cos 8

A: Given: The equation of the line is, y=3x. The objective is to find the value of sinθ and cosθ.

Q: 3 Find sin 2x, cos 2x, and tan 2x If cosx= and x terminates in quadrant II. sin 2x cos 2x tan 2x

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Q: Solve sin(x) +7 sin(x) cos(2x) = 0 for x E (0, 5). Give your answer in radians correct to 3 decimal…

A: The given equation is sin(x)+7sin(x) cos(2x)=0 and the range for x is (0, π/2).

Q: 1. Find the exact values of sinh (0) and cosh (0) using their definitions.

A: Sinh x=ex-e-x2∴ sinh0=e0-e-02=1-12=0∴sinh0=0      cashx=ex+e-x2∴cash0=e0+e-02=1+12=1⇒cash0=1

Q: 3. Find the value of sin(2x) given that sin x = and x is in QII.

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Q: Solve the equation for x. arccos x = arcsec x

A: Concept: Calculus involves the study of rate of change, which is used to calculate the objects which…

Q: 13. Find the value of tan 0/2, if sin e=-4/5 and 0 in QIII. 1/2 2+V3 -2

A:

Q: Find the period and amplitude of the function. 2n y=-4 sin x- 3 Give the exact values, not decimal…

A: If y=AsinBx is a function then its amplitude is A and its period is 2πB.   The given function is…

Q: # 4: Given: y = 4 sin(-2rx +7) Find the Period: Amplitude: Phase Shift: Vertical shift:

A: Given,

Q: Find sin 2x, cos 2x, and tan 2x if cosx = 2 and x terminates in quadrant I sin 2.x cos 2x tan 2.x

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Q: Calculate sin(x) -dx. √cos(x)

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 12 If sinh x= find cosh x, tanh x, coth x, sech x, and csch x. 35

A: Given, sinh x = 1235   We have to find  cosh x, tanh x, coth x, sech x  and  csc hx

Q: Find the value of x  tan3x = sin450 cos450 + sin300

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Q: Q5/ If tan 0 :- find without using table values of: sin 0, cos 0.

A: The given question is taken from trigonometry and calculus so we have to deal with both of the given…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 8, x in Quadrant IV sin(2x)…

A:

Q: If cos x is replaced by 1 - (x2/2) and |x |<0.5, what estimate can be made of the error? Does 1 -…

A: We’ll answer the second question first. Notice the question have used first two digits of Maclaurin…

Q: Sin(6x+16)=Cos(3x) Round answers to the nearest hundredth (2 decimal places). What does X = ?

A: We can find the value of x as below.

Q: Find y' if cosh x sinh?

A:

Q: Find sin(2x), cos(2x),and tan(2x) from given information. sec (x)=6 , x in Quadrant IV • sin(2x) =…

A: As per the given data we have: sec(x)=6    ⇒    cos(x)=16

Q: if tant=2/3 and 0<t<90degrees what is the exact value of cos(-t)?

A:

Q: If sec A = V50 with 0° < A < 90°, find sin 2A and sin 4. %3D sin 2A = sin

A: We have given that sec A=50......(1) The expression for the sec trigonometric function is given as…

Q: 2. Find the exact value a. sin'' -1/2 b. arccos - с. tan-1(tan - )

A:

Q: 4 Find sin 2x, cos 2x, and tan 2x if tanx and x terminates in quadrant IV. 3 sin 2.x cos 2.x tan 2.x…

A: Given:- tan(x) =-4/3 To find:- value of sin(2x), cos(2x), tan(2x)

Q: If tanh(x)=5/13, what is the sinh(x)?

A: Answer is sinhx=5/12. Explanation is given below..

Q: Use the tangent line approximation to evaluate the following in two ways. First, find the tangent…

A:

Q: Solve the equation for x  arcsin√2x = arccos√x

A: The given equation is sin-12x=cos-1x

Q: Differentiate sin(3x+5) with respect to x

A:

Q: cos? (x) 5 x²e* 6 V1 – x³ 4 - ex 7 sinh(x) 8 x² arctan(x) 9 1- X

A:

Q: Q If find x tan cy2 of +2x the Value dx?

A: Given function is                                                  x2y+3y4=xtany+2x differentiating…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = // 1₁ x in Quadrant I…

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Q: Find y' of tan x = Sin y -2x5

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Q: 1- 1- (Sin (coshx) sinhx dx

A:

Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx=- and x terminates in quadrant II. 17 sin 2x cos 2x %3D…

A:

Q: How would you evaluate∫tan10 x sec2 x dx?

A: given ∫tan10 x sec2 x dx

Q: 926 By computing the first few derivatives and looking for a pattern, find dx 926 (Cos x). ,926 (cos…

A: To evaluate the derivative:d926dx926cosx

Q: 2. Find a reduction formula for sin" x dx. By using this formula evaluate sin® x dx.

A: The objective of the question is determine the integral.

Q: If y=-cos x, what is x-value between pi and 2 pi corresponding to y-value of 1/2

A: Let's solve  for x value.

Q: 106)Find the nth derivative of cosx cos2x cos3x AND ALSO FIND S dx sin?x

A: Cos2x = 2cos^2x -1

Q: Find [sin' xcos³ xdx

A:

Q: If cos(x) = - and sin(y) = - with tan(x) > 0 and cos(y) < 0, algebraically compute the exact value…

A:

Q: sin x and coS x are periodic functions with period Tt. True False

A: Given statement is "sinx and cosx are periodic functions with period π."

Q: 1. Solve sin x= for X where 0° <x<90°. Enter your next step here

A:

Q: Find sin 2x, cos 2x, and tan 2x if tanx 2 and x terminates in quadrant I. sin 2x cos 2.x !! tan 2.x

A: Given, tan x = 2 x terminates in quadrant in I We have to find the value of sin2x, cos2x and tan2x

Q: 4. y = Arc tan² x³ 5. Ø = Are cot 2x

A:

Q: Find sin2x, cos 2x, and tan 2x if tanx= and X terminates in quadrant II. sin 2x cos 2x tan 2x 2/3

A: As per given  We have to determine sin2x, cos 2x, tan2x

Q: = cos 30 + sin? tan 2x 1-cot 2x = 2 csc(1 – 3x)

A: Find the first derivative: 7. y=log sin xa 8. y=e3x 9. y=e-bcos 2b

Q: As x gets closer to zero, tan2x/ln(1+x) gets closer to what value?

A: This question can be solved using the concept of L HOSPITAL,'S RULE.

Q: 2x 0.9511 and cos- 2x 0.3090, find tan 2x and sec Round to four decimal places. 5 Given that sin

A: The given values are sin2π5≈0.9511 and cos2π5≈0.3090

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.