The simplest form of tan2x is secx-1 Select one: a. tan x b. cos x +1 C. sec x + 1

Q: Given that sinX is -4/5 in Q4 find tan2x

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Q: Determine whether the statement is true or false. Justify your answer.

A: We have to state whether the following statement is true or false.

Q: Establish the identity. cos Ꮎ - sec Ꮎ = sin Ꮎ tan Ꮎ

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Q: Direction: differentiate the following: 5x 4. tan 5. у -sin(6x'-1)

A: 4. Let y=tan5x4 ⇒dydx=ddxtan5x4⇒dydx=sec25x4×ddx5x4⇒dydx=sec25x4×54dxdx⇒dydx=54sec25x4

Q: Find he principal valeier of the folousag (@) tanG) (6) Cos ) co tan 62) चिम्य ख

A: Given: tan-1-1, cos-112, tan-13, cos-1-12 we know that tan-1-x=-tan-1x…

Q: Find the exact value of:

A: To find the value of: tan-1(-3) Solution: We know that domain of function tan-1(x) is,-π2<x<π2…

Q: determine which of the two values is greater.a. tan 1 or tan 2 b sin 1 or tan 1 c. cos 2 or sin 2

A: a) tan(1) or tan(2) :       We find exact values of tan(1) and  tan(2) on calculator,…

Q: Which of the following expressions does not equal 1? sec²x - tan²x csc²x - cot²x sin²x - cos²x

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Q: Verify the identity.

A: Given: verify the identity tanx21+cosx=sinx for verifying given identity, we solve left hand side

Q: Verify that the equation is an identity. 1- tan 'x = sec x 2. 1- tan x

A: WE HAVE TO VERIFY THE EQUATION 1-tan4x1-tan2x=sec2x is an identity. LHS=1-tan4x1-tan2x Now,…

Q: 3y What is the degree of tan

A: Please refer the attached image for complete solution.

Q: The value of tan is negative zero positive

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Q: Write ∫ tan3 x dx in terms of ∫ tan x dx. Then find ∫ tan3 x dx.

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Q: express as an algebraic expression in terms of x. sin(arctan(x))

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Q: 2nd eg- how to derive tan^2x

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Q: The expression 1 + tan² x is equivalent to

A: Here given expression 1+tan²x we know that tanx = sinx/cosx and sin²x+cos²x=1 So tan²x = sin²x/cos²x…

Q: Find the exact value of cos[tan(-5)-

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Q: Write cos x in terms of tan x.

A: tanx= sinx/cosx Squaring on both sides We get, tan^2(x)=sin^2(x)/cos^2(x) tan^2(x)=…

Q: Verify the identity: sec θ - cos θ = tan θ sin θ

A: Given,           sec θ - cos θ = tan θ sin θ

Q: Verify that the equation is an identity. tan x- sec*x =1-2 secx

A: We will use the following identity: sec2θ = 1 + tan2θ

Q: Use the following information to determine tan(2x). tan(x)=−3 and sin(x) is negative.…

A: Given tan(x) = -3 and sin(x) < 0, which means tan(x) and sin(x) are negative, then x must belong…

Q: if sec 0 + tan0 = x,obtain the value of sec O,tan0 and sin0

A: We can solve this as per equation by using trigonometry formulas

Q: Find a simplified expression for cos(tan^-1(r/3))

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Q: If x = 8 sec 0, express tan e in terms of a. %3D

A: Given: x=8secθ Express: tanθ in terms of x

Q: Direction: differentiate the following: 5x 4. tan - 5. у -sin(бx'-1)

A: We can differentiate both the question as below.

Q: Assume a is positive, find cos(tan-) (show your work)

A: Given, x is positive To find cos(tan-1x)

Q: What is the exact value of tan(300°) 1 V3 -V3 1 V3 V3 2

A: Answer is -√3 Explanation is given below...

Q: Determine if the statement is true or false. tan  2A/ 2=  tan A

A: Given expression: tan2A2=tanA Tale left hand side the given expression: tan2A2 We know that…

Q: 2. Write the expression in terms of x and y only. tan(2 cos-1 3x)

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Q: Complete the identity. 2. sinx+tan´x+cos x=?

A: complete the identity               sin2x + tan2x +cos2x=

Q: Find the exact value of the expression. tan(an-1(금)- cos-1 (금))

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Q: Which expression is equal to 1/tan⁡ x+tan⁡ x using identities?

A: The trigonometric equations that can be used are as follows: 1.  1+tan2x=sec2x 2. sin2x=2 sinx cosx…

Q: Express tan θ in terms of sin θ only.

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Q: I am very confused about this concept. Any help would be great.   Thanks much.

A: Given expression is Let Plugging the value in the expression:

Q: Evaluate csc(cos^-1(tan(sin^-1(a/b)))) when a/b is a positive real number

A: we have to evaluate csc(cos^-1(tan(sin^-1(a/b)))) when a/b is a positive real number

Q: which one is cosx * cotx + sinx equal to? a- tanx b- secx c- cscx d- cos^2x e- none of these

A: We replace cotx by cosx/sinx

Q: Evaluate csc(cos^-1(sin(tan^-1(a/b)))where ab is a positive real number.

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Q: The expression sec (z) - tan (z) is equivalent to

A:

Q: Which expression is equivalent to sinαcosαsec(−α) for all values of α for which sinαcosαsec(−α) is…

A: Given,           sinαcosαsec-α

Q: write in terms of x: cos(sec ^-1x)

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Q: Evaluate tan° (x) sec* (x)dx in the two different ways indicated.

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Q: Determine whether the statement is true or false. tan−1(x) = sin-1(x)/cos-1(x)

A: Given,

Q: Let f(æ) = (7 sin a + 4 cos a)tan-e f'(x) -

A: We can find the derivative using product rule as below.

Q: What is tan x if csc x = -V34/3 and cos x < O? * V34 CSC X =

A: Given, cscx=-343 sinx=1cscx=-334 we know, sin2x+cos2x=1 934+cos2x=1cosx=2534=-534

Q: write cos x in terms of tan x  1 + tan2 x = sec2 x

A: We write cos x in terms of tan x    1 + tan2 x = sec2 x

Q: Use the following information to determine tan(2x). tan(x) = -3 and sin(x) is negative

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Q: Choose the expression that completes the following equation so that it is an identity. tanx+cotr = O…

A: Given,  tan(x)+cot(x)=sin(x)cos(x)+cos(x)sin(x)                        =sin2(x)+cos2(x)cos(x).sin(x)…

Q: Use a calculator to solve the equation tan2 x - 3 tan x + 1 = 0 correct to four decimal places, on…

A: To solve the equation,  tan2x-3tanx+1=0 By using substitution, Let u=tanx, u2-3u+1=0