show that the equation tan(45 + x) = 4 tan(45 - x) can be written in the form ( 3 tan^2 (x) ) - (10 tan x) + 3 = 0

Q: (tan® – sin®)²+(1 – cos®)²= (1 – sec0)²

A:

Q: SOLVE USING VAREATION Of PARAMETERS OR REDUCTION of ORDER 2 tan'x

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Q: Verify the identity : 1-cosx sinx = 2 csc x sinx 1– COsx 2.

A: Given- 1-cosxsinx+sinx1-cosx=2cscx To verify- The above identity. Identity Used- sin2x=1-cos2x

Q: cosx+sinx=cos(2x)  Prove that tanx=-1

A:

Q: 5. Integrate: [tan(7x)dx

A: 5) The given integral is ∫tan7xdx

Q: Simplify tan 0-sec²0|1.

A:

Q: Find the exact value sin[sin^-1(-4/5)-tan^-1(3/4)]

A: Use relation between sin-1 and tan-1   The expression is re written as,

Q: 15 If tan 0 :-: sin 6 < 0. Determine sec 6.

A:

Q: Sec'x 16-tanx

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

Q: find integral tan 5 x sec 7 x dx

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Q: Find   tan(u/2)   if   sinu=−0.723

A:

Q: Evaluate ∫tan4 x sec4 x dx.

A: Using the Pythagorean identity we get:

Q: 4. 1 + tanx 1- sinx

A:

Q: Find The value of tan V3 - sec "(-2) |

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Q: Vtan XP sin X cosX

A:

Q: Verify the Identity: sec^6 x (secxtanx) - sec^4 x (secxtanx) = sec^5 x tan^3 x

A: We will use trigo identity to solve this

Q: Find the derivative of tan−¹(x).If you use the identity 1 + tan²(x) = sec²(x), you can write the…

A:

Q: Verify identity tan2 2x + sin2 2x + cos2 2x = sec2 2x.

A: To verify: tan2 2x + sin2 2x + cos2 2x = sec2 2x WKT cos2x+sin2x=1 x refers to any number, Replace x…

Q: Prove cos x (1+sinx 1-sinx sin x. 4 1-sinx sinx+1/

A:

Q: Describe the technique for finding ∫ sec5 x tan7 x dx. Do not integrate.

A: Given ∫sec5x tan7x dx

Q: 9 coshx - 5 sinhx = 15

A: Note the following result : cosh x=ex+e-x2  sinh x=ex-e-x2 . In above formula , x∈ℝ . To solve the…

Q: 1 Differentiate f(æ) = sin-(4x). Use exact values. = (x),f

A: We use the chain rule for differentiation

Q: How can I find tan inverse of 3/2 or any number larger than 1 without a calculator?

A: We have to find value of arctanx,any value of x which is greater than 1.

Q: Is Cscx-1/1-Sinx=cscx

A:

Q: 11. sin(2 tan-1 (-) 3,

A: A trigonometric ratios sin, cos, tan can take the input in the unit of degree or radians. The…

Q: 3. sec-1 -tan

A: Given,

Q: 1. Find tanx and sinx if secx = 4 and sinx < 0

A: Authoring guidelines:…

Q: Show that tan3x tan 2x tan x = tan3x – tan 2x – tan x %3D

A:

Q: Find sec2x if sin x = 6/10 and sec x < 0

A:

Q: S(sec; - sin) do

A: We know that integration power rule is  Integration of (xn) = xn+1/n+1.   Here i attached the…

Q: Prove the identity.   (1-tanx)^2=sec^2x-2tanx.

A: We have to prove the identity(1-tanx)2= Sec2x - 2 tanx

Q: | (tan x)¬3/2 sec² x dx

A:

Q: f(x) = ln(125 sin^2(x))

A:

Q: Differentiate sin3 x

A:

Q: 6) Verify tan x + cot x = sin(2x)

A: Simplification

Q: how to simplify tan(arcsin(x))?

A: Start with:

Q: Verify the identity. (Simplify at each step.) tan x = tan³ x sec² x - tan³ x tan5 x = (tan³ x) T = 3…

A: Remember the trigonometric identity Tan2(x)=Sec2(x) -1

Q: Integrate tanx+cosx-sin2x=1

A:

Q: Prove that = tan 0 + cot 0 (cosec 0-sin 6)(sec 0-cos 0)

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Q: Find sec 0 if tan 0 = 12/5 and 0 terminates in QIII sec 0 =

A:

Q: If tan(x+y) tan(x-y) = 1 then find the value of tanx

A: From the given data:

Q: Explain how to find ∫ tan15 x dx without actually integrating.

A: ∫tan15x dx=∫tan13x tan2x dx=∫tan13x sec2x-1 dx   ∵sec2x-tan2x=1=∫tan13x sec2x-tan13x dx=∫tan13x…

Q: Prove sin 2  x/2=  tan x - sin x / 2 tan  x

A: The given identity is sin2x2=tanx-sinx2tanx

Q: solve, sin(4x)cos(6x)-cos(4x)sin(6x)=-0.35 x=??

A: solve, sin(4x)cos(6x)-cos(4x)sin(6x)=-0.35

Q: Find tan 0 if sin 0 = 3/4 and 0 terminates in QI. tan 0 =

A:

Q: Prove 1+Sinx tan( 2. 1-Sinx

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Q: Prove the identity Sinx/1-cosx=secx+1/tanx

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Q: 3-sinx 6. f(x) = 1+ In(x3 — х)

A: Quotient rule of differentiation: Chain rule:   also

Q: 6. tan (9x + 5) + C 1. O B. - O A. sec2(9x + 5) Which function should be differentiated? 6. tan (9x…

A: