Use the addition formulas for tangent to simplify the expression. [tan(e + 77)][tan(0 – 77)] + 1

Q: Find all values of x such that sin 2x = sin x and 0 <x< 2m.

A: sin 2x=sinx⇒sin 2x-sin x=0⇒2 sin x cos x -sin x=0⇒sin x2 cos x-1=0⇒sin x=0  or  2 cos x-1=0 sin…

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Q: Solve the following equation algebraically for the exact value of x. sec-1 = tan-'(x) %3D

A: Hence we get solution  x=212

Q: What does the following identity tell us about the derivatives of sin -1x and cos- 1 x?…

A: Explanation: Suppose that,  A=sin-1xB=cos-1x   Now we can say that,  sinA=xsinB=x  So,  x=sinA=sinB…

Q: The least positive value x for which tan x= 0 is

A: Question is from trigonometry  And it is a well known fact that tan x = 0 only when x = nπ , where n…

Q: Estimate the error if P 3(x) = x - (x^3/6) is used to estimate the value of sin x at x = 0.1.

A: Given:

Q: Graph the function ƒ(x) = sin 2x + cos 3x.

A:

Q: 40 Using the reduction formula, we have! sin"xdx = %3D

A: Given : ∫sin40xdx

Q: Express y in terms of x if the inverse sine of x is equal to the inverse tan of y.

A: Given sin-1x=tan-1y.  Assume θ=sin-1x so sinθ=x. Therefore using identity sin2θ+cos2θ=1:…

Q: Plot the following function У-cos(2n/5)-х)

A: y=cos2π5-x

Q: By using the relationship between the hyperbolic sine function and its Ssinh- (x)] = V. inverse,…

A:

Q: Derive the identity for tan(a – B) using tan(a – B) = tan[a + (-B)]. After applying the formula for…

A: Our Aim is to derive the identity for tan α-β using the formula for the tangent of the sum of two…

Q: Find the value of tan750

A:

Q: Derive the following function 7.y=sin(tan sin2x)

A: As per bartleby guidelines we only give first question answers.

Q: Find the period of the function X(x) = | sin r| + sin |æ|.

A: Given λx=sinx+sinx

Q: Let x be real, what is the value of sin(2Cot^−1(1+x))

A:

Q: Which of the following expressions can be differentiated using the product rule? А arcsin(cos x)…

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Q: 2. By hand, showing all steps, determine sin 4x sin 5x lim x sin 3x

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Q: Use an identity to solve the equation tan x - sec x = 1 on the interval [0, 2π).

A: The given equation is tanx-secx=1.

Q: sin 3t? limt-o 1-cos 2t

A: To evaluate: limt→0sin 3t21-cos 2t 00 form

Q: It can be shown by induction that the nth derivative of the sine function is given by the formula d"…

A: Givendndxn(sin x)=-1n-12cos xn odd(-1)n2sin xn evenTo findwhether the given formula is correctTo…

Q: B- find the value of x x = tan(sin-1–) 2.

A:

Q: 18. r = [(2 tan³ 20) – 1)] 트

A:

Q: For what values of a and b is sin bx tan 2r lim 0?

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Q: Find the exact value of the expression whenever it is defined.

A: (a) sin-1-12=-sin-112                ∵sin-1-x=-sin-1x =-sin-1sinπ6   =-π6                          ∵…

Q: Can i get help step by step?

A: Given

Q: The function f(x) = 3 sin(4x)has amplitude________ and period_____

A: Given: f(x)=3sin(4x) The standard form of the equation is f(x)=Asinωx

Q: Use an identity to solve the equation cos 2x = sin x on the interval [0, 2π).

A: Given:cos2x=sinx  on [0,2π)

Q: If f(x) = 5 tan-1 x, then find the value of f'(3) is 3

A: As we know,                            ddxtan-1x = 11+x2

Q: Use the power-reducing formulas to rewrite sin6 x as an equivalent expression that does not contain…

A: Given: y=sin6x for reducing power, we simplify given expression so, y=sin6x=sin3x2…

Q: Find the exact value of the expression whenever it is defined.

A: (a) Given expression is sin-1sin5π4. We know that, sinπ+θ=-sinθ Therefore,…

Q: What is the period of the function f(x) = 2 sin x? %3D

A: Given f(x) = 2 sin(1/2 x) Since for any given sine function of form  A.sin(bx) the period is 2π/b

Q: What is the period of f(x) = sin(3Ħx – 4) + 2? %3D

A: For a given function: Time period (T) =        2(PI)     _        w(omega) Whereas addition of DC…

Q: Write the expression as an algebraic expression in x for x > 0. sec sin-1 x2 + 36

A:

Q: B- find the value of x x = tan(sin-1) 2

A:

Q: Find the exact value of the expression. sin(s: () - ian (3)) - tan-1

A:

Q: find the exact value of tangent of pi/12

A: Given:  We have to find the exact value of the tangent of π12 We write π12 as π3-π4

Q: Find the exact value of tangent of pi/12.

A: The given expression is tanπ12.

Q: is the root accurate to 4 decimal places root 3x cos(x)-1=0 Win7

A: We have to use Newton-Raphson method which is widely used in finding the root of equations.

Q: sinx In (2) cos:

A:

Q: Find the exact value of cos(arctan x)

A: The exact value of cosarctanx=

Q: ) In(sin(3x +2))

A:

Q: Obtain the reduction formula for ∫tan"x dx, and hence evaluate ∫ tan5x dx.

A: ∫tannx dx=∫tann-2x·tan2x dx=∫tann-2xsec2x-1 dx      ∵sec2x-tan2x=1=∫tann-2x sec2x-tann-2x…

Q: 17. Determine the equation f(x) = cosx as a sin function.

A:

Q: What is the smallest number x such that tan e^= 0.

A: Given: The equation tanex=0 To find: The smallest number xsuch that the given equation is satisfied.

Q: Evaluate ∫sin3 x dx by splitting off a factor of sin x, rewriting sin2 x in terms of cos x, and…

A: the given integral is: ∫sin3x dx we have to evaluate the given integral by splitting off a factor of…

Q: Solve the following equation for x on the interval [0, 27). tan (x) = -6

A:

Q: What are the two formulas for tan (A/2)

A: tanA2

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.