4. Evaluate, tan(3+4i)

Q: If f(x)= 2ax tanx + b In(cosx) and f'(x)=5 tanx +4xsec?x, then the values of the constants a and b…

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Q: Determine D, tan( 2x)-Jcos(2.x)

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Q: Please solve a question on hyperbolic functions.

A: Let us first find x + iy and its complex conjugate x – iy. Complex conjugate can be found by…

Q: 27. What is the simplest form of sin 2 tan'x A) 1+x B) 21+x? 2x C) 1+x 2x D) |1+x?

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Q: If f(x) = 3 tan¯¹(6 sin(4x)), f(z) = Question Help: Video

A: Given that fx=3tan-16sin4xTo find :Derivative of fxSolution…

Q: 6. Use a special right triangle to write tan 60° as a fraction. a. с. 1 1 b. d.

A: To find tan60°

Q: 5. What is the exact value of tan 195°? O 2 - V3 2 –

A: Using advanced trigonometric identities we can solve for tan 195o

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

A: Such identities can be proved by taking one side of the identity and proving it as equivalent to the…

Q: tan (w+2n eくな foo ttait

A: We have to find value of a and b :

Q: Let 3 sin z+ 6 cos y= 4.

A: The first derivative of y with respect to x is given by the expression . The second derivative of y…

Q: 1 Show that (tan-' x) : 1+x?

A: We use Trigonometry identities and inverse Trigonometry to solve this proof

Q: Division rule

A:

Q: 2. Make the substitution x = 5 tan(0) into the expression (25 + x²)3/2 and simplify. Leave your %3D…

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Q: 57 where 2 tan 0 = <0 < 3T 3 Find sin 20 7 24 24 25 24 25 25 24 4,

A: By using sin(2x) formula in terms of tan(x).

Q: 4. Evaluate tan²(x)dr. | tan

A:

Q: tan(x+D Dlim

A: We have to find the value of limx→-1tanx+1x+1. If we substitute x=-1 in the function, then we get 00…

Q: 3. tan r dr cos r 6.

A: Given: To find: The value of the integral.

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

A:

Q: (B) Evaluate tan (3x +1) sec³(3x +1) dr

A:

Q: Determine the value of 0 in sin(40 + 2°)csc(30+5°) = 1 O 3° O 4° O 5° O 2°

A: sin(4θ+2°)csc(3θ+5°)=1sin(4θ+2°)×1sin(3θ+5°)=1

Q: 2. Explain the difference between sin(2x), 2sin (x) and sin? (x).

A: Follow step 2

Q: 3 then tan 0: sin e = O 5 3. 3 O 3

A:

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

A: B)cos2θ-sin2θ=1-tan2θ1+tan2θRHS1-tan2θ1+tan2θ

Q: Write the expression as an algebraic expression in x for x > 0. 3 tan 2 cos -1 3 tan 2 cos

A:

Q: what is the general solution for -1=2tan(x) + tan2(x)

A: Simple calculation of trigonometric ratio

Q: 4.) 2 tanx (sin x) tan x = 0 %3D where do I begin? NG Cue! 2240

A:

Q: dr 9. = -r tan 0, when 0 = π, r = 2 de

A: Given the differential equation drdθ=-r tanθ, when θ=π,r=2. The objective is to evaluate the…

Q: ngle Belo 1. Sin B = 30 34 2. Cos B = 3. Tan B %3D 16

A: Given problem:-

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

A:

Q: what is the value of x if 2tan x / (1-tan^2x) = cot56

A:

Q: 18tan rsec 16. (2+tan' x) -dp-

A: Given integral: ∫18tan2xsec2x2+tan3x2dx Substitute u=2+tan3x and differentiate it w.r.t 'x'…

Q: 15. Which is the value of sec2 80° - tan? 80°? O -1 undefined O 1

A: Given :

Q: 3 ec'x tan хdх

A: We will use the substitution, sec(x) tan(x) = t and proceed as follows :

Q: Prove that c) 1-tan?A -Cos 2A Htan?A

A:

Q: 41. tan? x – V3tan x=0

A: Part 41,Given,tan2 x - 3 tanx = 0

Q: (b) у — 2г tan-"(г) — In(1 + x?)

A:

Q: 5. Which expression is equal to tan z-1 using identities? tan r+1

A:

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

A:

Q: 14. An expression that is equivalent to sin 2x is 1- cos 2r tan r

A:

Q: Which expression Is equal to ian t-1 tan a+1 usIng Identities?

A: Given expression is

Q: 109. Find a value of N such that /4 tan x dx < 10-4

A:

Q: 11. What is the exact value of tan (–105°)? O -2 + v3 O 2 - V3 )-2- V3 O 2+ V3

A: Given:        tan-105° Use the property:        tan-x=-tanx     Then,           tan-105°=-tan105°…

Q: 15. Which expression is equal to + tana using Identitles? tan z cos e sin z sin x cos z

A: Here we have,  =1tanx+tanx

Q: What is the approximate value of tan (3)? O-3.078 O 0.033 O 1.083 O2.468

A:

Q: π/4 1 If /n= 0, tan"x dx then 130 + 128 Answer:

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Q: If y= tan (kx) + tanh'(kx) and (1 - 625 x) y'=A Then K=, -.... Answer:

A:

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

A: tanA2

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

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

Q: 1. Prove the following identity: tan 0 + tan 8 sin Ocos 0

A: