a-X Differentiate Tan" 1+ ax

Q: (A) Verify the identity (i) (1 + tan² x)(1 - sin2x) = 1 sec x - 1 %3D tan x (ii) tan x sec x + 1 1+…

A: We have to prove the identities.

Q: tan Ź t Sin Ź

A:

Q: Verify the identity. sec5 x tanó x = (tanx + tan8 x)sec3 x (tan x + tan° x)sec3 x (| tanºx - tan²…

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Q: establish each identity.

A: To prove this identity first we will use the result log(a)+log(b)=log(ab). Then the identity…

Q: secθ-tanθsinθ=1/secθ

A:

Q: prove sec(theta) +1 / tan (theta) = tan (theta)/ sec(theta)-1

A: Question is related to trigonometry.

Q: 5. (tan x)(1 – cotx) = tan x – 1

A: Since you have asked multiple question, we will solve the one question for you. If you  want any…

Q: ind period of 8- tan 4X yo yo 5c 5 Cos /0X

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

Q: 3 sin(x) = 3 tan(x)

A:

Q: Verify the identity.

A: Given: verify the identity tanx2=secx-1tanx for verifying given identity, we solve right hand side

Q: Verify the identity: sec4 x - sec2 x = tan4 x + tan2 x.

A:

Q: sec 0 +1 – tan 0 , tan 0+ sec0 –-1 Prove : = 2 sec 0 sec 0 +1 + tan 0 tan 0 – sec0 +1

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Q: 2 1. sin 0 == and sec 0 > 0 2. sece = - and tan 0 > 0 3

A:

Q: tan x - cot x Cos 2x Cot X t tanX

A: Given: tanx-cotxcotx+tanx=-cos2x

Q: i) sin 0+tan 0 1+sec 0

A: Givensin θ+tan θ1+sec θTo findsimplify thegiven tignometric function

Q: sec e de 1+ tan 0

A: To find∫secθ1+tanθdθ

Q: verify the identity    2cot2x= cotx- tanx

A: To verify: 2cot2x=cotx-tanx Solution: We know that cotθ=1tanθ And we have formula,…

Q: \tan ^{2} \theta-\tan \theta=0

A: To solve the equation: tan2θ-tanθ=0 Solution: Factorizing the given equation.…

Q: establish each identity.

A: To prove: tanθ+secθ-1tanθ-secθ+1=tanθ+secθ

Q: 9. Establish the identity 1- sec 0 tan 0 2 cot 0 tan 0 1- sec 0

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Q: a. as x→. tanx- b. as x→ tan x→ E. as x→0", cotx→ d. as x→0*, cotx→

A: Given query is to find indicated limits.

Q: a-X Tan" 1+ ax Differentiate

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Q: tan-1 (tanx)= x where..............

A: It is known that tan-1tanx=x for all values lies on -π2, π2.

Q: HW/Prove that: . (1) tanx=cot! tan"x= cot-1 (2) sin x = csc -11. (3) sin (sin x) = x

A: We have to prove the identities 1. tan-1x=cot-11x2. sin-1x=csc-11x3. sin-1sinx=x

Q: 3 tan 0 tan' 0 Show that tan 30 = 1-3 tan? 0

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Q: Establish each identity.

A: To prove:sec4θ - sec2θ = tan4θ + tan2θ

Q: 1 sec @ — tanө %3D sece + tan0

A: rationalizing LHS and using trigonometry formula's to get RHS

Q: 9. tan 0 = 4, sin 0 < 0 %3D

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains…

Q: 4 -1 -1 Determine the exact value of sin tan + tan 5

A: Consider the given trigonometrical expression, sintan-145+tan-175 First, change tan-145+tan-175 this…

Q: How do you differentiate y= tan^-1sqrt(x) The tan^-1 is multiplied by an x under the sqaure root.

A: To differentiate the given function by applying  the chain rule

Q: cosx+sinx ST] Prove that tan2x + 2cos?x-1 cosx-sinx

A:

Q: 1+tanx b) 1-tanx = tan (x + ²)

A:

Q: Mutiply    (1 -tan theta ) ( 1 + tan theta )

A: We have to multiply: 1-tan θ1+tan θ We know the algebraic identity, a-ba+b=a2-b2 Applying this…

Q: Seatwork #2: Simplify the ff. (tan )(sec) 2. (tan")(cot) 1.

A: We want to simplify the equations.

Q: 1+ sine tane + sece - 1 tane – sece +1 Prove that cose

A:

Q: Verify the identity:

A: tan x=sin xcos  x1+tan2x=sec2xsec x=1cos x

Q: Differentiate Sin(x2 +1)

A: We have to differentiate

Q: cosx Prove the identity: tanx+ sec x 1+ sin.x

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Q: The tan function is the same exact function as the tan-1 function O True O False

A: The answer of the above ques is

Q: Verify the identity:

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Q: cos x (1 + tan² xr )

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Q: 15 tan3(x) = 5 tan(x) %3D

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Q: Determine the amplitude of y = - 1/2 sin x. Then graph y = sin x and y = - 1/2sin x for -π ≤ x ≤ 3π.

A: We have to graph the following functions y=sin x y=-12sin x   We have to find the amplitude of…

Q: tan0+tana B: prove that tan(0 + a) 1-tanotana

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Q: If y = Cot-1 - tan-1x, X then y'

A: