Given tan x = - ((6)^1/2)/2 and cos x > 0, find sec x

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: If x = ln ( sec x + tan x) , show that sec x = cosh x

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Q: tan x sec X 3 10 cos xdydx

A: Given : Double integral ∫0π/2∫0tan x sec x y3 cos10x dydx   To find : Evaluate the given double…

Q: If y = sin x, then y' = - cot x sin x - tan x sec x sec x -sin x - Cs X tan x cos X CSC X

A: Given function is y=sinx. Differentiating the given function with respect to x, we get…

Q: 2. Sinx- Cosh

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Q: find integral tan 5 x sec 7 x dx

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Q: Given that sin (x) -2/√13 & cos (x) < 0, find the value of tan (x)

A: Given sinx=-23

Q: 10) lim TT X-- sinx-cosx - TT X- 4

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 4, tan(x) < 0 sin (2x) =…

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 4, tan(x) < 0 sin(2x)…

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Q: Find the possible values of x in |coshx -sinhx| = 2 Isinhx coshx

A: Given,           coshx-sinhxsinhxcoshx=2

Q: True or false: To verify the identity sin x 1 + cos x we should begin by multiplying both sides by…

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Q: x-sinx 1. lim X-0 x-tanx

A: Given function is limx→0x-sinxx-tanx

Q: The expression sin(x) cos(x) - cos³(x) simplifies to f(x) sin(x) Determine f(x).

A: The given expression is: sinxcosx-cos3x As we know the trigonometric identity; 1). cosx=1secx 2).…

Q: 1 Differentiate f(æ) = sin-(4x). Use exact values. = (x),f

A: We use the chain rule for differentiation

Q: Compare the accuracies of the approximations sin x = x 6x/(6 + x²) by comparing the graphs of and…

A: Calculate the approximate value of f(x).

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6, tan(x) < 0 sin(2x) =…

A: Given

Q: Find sine half range for f(x) = \cos x for -1<x<1 COSX for < x < 0. f(x) { COSX for 0 < x < .

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Q: Using suitable method, show that 2 tan" (x+2) dx =- – In 2 .

A: We use integration by parts to find integral tan inverse x.

Q: 4. Without using your calculator – show your work Evaluate tan ( – 0),when tan (0) = 1/3

A: Solution: The objective is to evaluate the given equation

Q: sin2x+cos2 for x = 55 degrees.

A: Apply trigonometric identity cosA=sinπ2-A to rewrite the expression. sin2x+cos2x=sin2x+sinπ2-2x…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6,   tan(x) < 0 sin(2x)  =…

A: values are a) sin(2x) = .3286 b) cos(2x) = .945 c) tan(2x) = .3479 detailed solution is given below…

Q: If x= ln (sec θ +tan θ) , show that sec θ = cosh x .

A: It is given that  x= ln (sec θ +tan θ)

Q: 9.f tan3³ x √sec x dx

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Q: 7- I = [sec(2x) tan(2.x)dx cos(2x) 8- I = dx 4-sin (2x) csc (In(x)) 9. I: dx

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Q: Find the exact function values for sin(2?) , cos(2?) ??? tan(2?) when cos(?) = −√5/5 ??? sin(?) > 0.

A: cosx=-55, sinx&gt;0 By using the identity sin2x+cos2x=1, we get…

Q: In(|tan(x) sin(x)|) = 2 In(|sin(x)]) + In(|sec(x)])

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Q: a) Use suitable sum and difference identities for hyperbolic functions to show that sinh(5x)…

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Q: sinx(tan(x/2))-sinx=0

A: sin x tanx2-sin x=0

Q: 1-cos2.x sin 2.x : tanx

A: Given- 1-cos2xsin2x : tanx To Simplify- The above expression. Formula Used- cos2x=1-2sin2x and…

Q: Differentiate f(x) = sin-(2x). Use exact values. f'(x) =

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Q: Differentiate  x sin−1(x)  with respect to sin−1x.

A: Using derivative of one function w r to another function.

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6,   tan(x) &lt; 0…

A: Given informationCosec(x) = 6, tan(x) &lt;0

Q: If tanx = 2/2 and a < x < find cos- 2 %3D

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Q: 1 (tan x + cot х) sec x %D 1/cosx 1/sinx 1

A: Given query is to find the correct option for the expression.

Q: If cos x = 2/3 Find sin x and tan 2x

A: To find: The value of sin x and tan 2x. Given: The value of cos x is 23. Concept used: Trigonometric…

Q: 8. If sin x- cos x = 3, find sin x sec x

A: given: sinx-cosx=13 to find: sinxsecx

Q: Find x where 0 ≤ x ≤ 2π. cos x - tan²x = 1

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Q: Find sine half range for f(x) = \cos x for -t< a <n %3D cosx for f(x) for 0<x <n. cosx

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Q: Differentiate x sin-1 (x) with respect to sin¯'x. х.

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Q: Find tan 0 if sin 0 = 3/4 and 0 terminates in QI. tan 0 =

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Q: Find x cos(x)-sin(x) = 0

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Q: Find sin 0 and tan 0 if the terminal side of 0 lies along the line y = -7x in QII. sin 0 = tan 0:

A: Given that terminal side of ϑ lies along the line y = -7x. Note that the slope of the line y = -7x…

Q: Find lim Sin 3x (1- Cosx) メーや。 メ*s X Sinzx cosx

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Q: 2x,given  tanx=2 and cosx>0

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 4, tan(x) < 0 sin(2x)…

A: csc(x)=4, tan(x)&lt;0we have to findsin(2x), cos(2x), tan(2x)

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.