1 .Prove that : sec q + tan q = 2x or, 4x If sec q = x+ 2x

Q: → find period of 8- @yotan 2 y. 5 cos 1o* 10 yo 11

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Q: Find g'(0) if g(0) = –4 sin(30) +2 tan(50) – sec(70) -

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Which of the following is equivalent to secβ(tan2β+1) for all values of β for which secβ(tan2β+1) is…

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Q: b. Prove that 2cot (20) = cot(0) - tan(0)

A: To prove the identity.

Q: Find tan(u/2) if cosu=0.641 and u is in Quadrant-I. tan(u/2)=

A: Given, cosu=0.641 u is in Quadrant-I. we have to find tanu2

Q: 2. What is the smallest positive degree measure equivalent to tan(3.27)?

A: We have to the smallest positive degree measure equivalent to tan-¹(3.27)  Since the given value is…

Q: Prove that sec x dx = In sec x+ tan x +C.

A: Here the question is solving by using u-subsitution method.

Q: Prove that: 1-tan? 0 cos? 0 - sin? e %3D 1+tan? 0

A: A function is said to be a rational function if it is given as the ratio of some values.  The…

Q: 2. tan x sec² x dx = when we set u(x) = and du = 00

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Q: Show that (tan- x) = cos2(tan-1x) and then use Figure 8 to prove that (tan- x) = (x² + 1)-1. V1+x? y…

A: Given:

Q: In [tan (5 + )| +o sec x dx 4 2

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Q: tan x + cotx = sec2x cotx– tan X

A: The given identity,tan x+cot xcot x-tan x=sec 2x

Q: 3. e<4TI. 2. ind 3. where when tan e = -

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Q: . Evaluate sec z tan zdr

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Q: Division rule

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Q: Prove that d/dx tan(x) = sec^2(x).

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Q: Evaluate tan" (32) sec"(3e) dz. sec" (Зa) da.

A: Here we integrate using substitution method.

Q: B) Prove that: 1-tan? 0 cos? 0 – sin? 0 1+tan? 0

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Q: Suppose that x = 2 tan 8. What is sec e equal to in terms of x? √4+x² 2 √4+x² X Option 1 Option 2…

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Q: 3. What is the exact value of tan 195°7 O 2+ V3 O 2+ v3 O 2-V3 O-2-V3

A: To find rhe exact value of 195°

Q: find 0 if tan 0 = v3 and 0 terminates in QIII with 0 < 360°

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Q: 5. Show that de (tan 8) can be expressed in the form 3tan 8+3sec2e-3. Hence, find tan*e de.

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Q: Let tan (8 ith ở in QL Find sec (2) - 16

A: Explanation and solutions is given below....

Q: Find tan x if sec x = 1.642 and 0<x < Tt/2.

A: Given, sec x=1.642

Q: 1. prove that tan A sin 2A = 2sin2A %3D

A: Please refer the attached image for complete solution. THANK YOU.

Q: If tan-0 = 1- a Prove that sec® + tam Ocosece = (2- a) 3. %3D %3D

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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: D,(6 tan x) 6 sec² x sec² x (c) D,(In |6 tan x|) %3D 6 tan x 6 tan x tan x

A: Consider the given function as Dxln6tanx

Q: Let S(x) 9 sin x + 9 cos x "(x) 3= r(-)-

A: A function is given as fx=9sinx+9cosx. The objective is to find the first derivative f'x of the…

Q: f (Sec A + tan A ) (SecB + tanB) (Sec C + tanC) = (Sec A -tanA) (Sec B - tan B) (Sec C - tan C ) .…

A: The trigonometric equation is (Sec A + tan A ) (SecB + tanB) (Sec C + tanC) = (Sec A -tanA) (Sec B -…

Q: Prove that : 1 a) Sec'x= Cos!

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Q: If 1, = | x" sin x dx, prove that 1, = nx"-! evaluate -1,. sin x- x" cosx– n(n-1)I, 2. Hence, = NX…

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Q: 5л Compute the exact value of tan ( + 4 ). 6.

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Q: Q1// prove one only: tan²x-1 tan²x+1 = 1-2cos²x

A: Topic = Trigonometry

Q: Find the exact value of sin 20 if tan 0 with 0 in QII. 4 %3D O - 8 17 13 17 8 17 17 o 4V17 17

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Q: then tan 0 is equal to If tan 4. %3D 3

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Q: If 5 tana =4 5 sin a – 3 cosa 1 Show that 5 sin a + 2cos a 6.

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Q: Evaluate: tan( 4x- -In |cos (4x + 3)|+C B -In |sin(4x + 3)|+C -In |cse (4x + 3)|+C -In \sec (4x +…

A: the given integral,        ∫tan(4x+3) dx

Q: 30. 7/3 tan'x sec'x dx

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Q: 4 Giren tan A =– where 0<AS Find 2sin 2A.

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

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Q: Find sec 0 if tan 6 and 0 terminates in QIII. sec e = :- 4 sec e = 3 5 sec 0 = %3D sec 6 sec 0: %3D…

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Q: Prove that : A) sin(h3x) =3sin(hx)+4sin(h³ n(n°x) B) 13 cos(hx) 3 C) 2tan(hx) tan(h2x) 1+ tan(h²x)

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Q: Suppose that π≤θ≤3π/2, tan(θ)=10/7, find sin(θ)=______. (round to 3 decimal places)

A: The given problem is solved below details.

Q: (6) Given that In= tan" x dx, show that, for n 2 2. %3D In- In-2 = %3D n- 1

A: I think given question is slightly wrong. According to me the required proof should be…

Q: what is the deivative oF: tan(3x) eX y = In x

A: The given function is: y=2xtan(3x)ex8ln x

Q: Prove that _ d tanx = Sec'x.

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