Which one of the following is not equal to cos 4x for all real values of x?«- A sin? 2x – cos? 2x+ В 2 cos? 2x – 14 C 1-2 sin? 2x D (cos 2x – sin 2x)(cos 2x + sin 2x)- E cos 3x cos x – sin 3x sin x

Q: cose = +V(sin?0 - 1) O +V(1 + sin?e) O +V(1 - sin?e)

A:

Q: How do I simplify (9-sin(x))(4-3cos(x))-(9cos(x))(3sin(x))

A: Given that: (9-sinx)(4-3cosx)-(9cosx)(3sinx)

Q: sin 2x Verify 1+ cos 2x = tan x.

A:

Q: 3 п (3 2 sin (x-2п) cos ( -x ) + tan (п -x) tan 3 п 2 +x

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

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A:

Q: cosx dx sinx +1 * Evaluate (A) none of these sen + In|sinx + 1| +C B © e - In|sinx +1| + C 1 ·+ C…

A: According to the problem, we have

Q: (종-272 27=) + ain G + 272) The simplified form of cos O V3 cos 27z + sin 27z V3 cos 27z + v2 sin 27z…

A: Given cosπ6-27x+sin(π3+27x)

Q: If z = 2 ( cos 2¥/3 + isin 2¥/3 ), then z^3=   i. 2 - i8√3 ii. -4 + i4√3 iii.-8-i√2 iv. -8 - i4

A: Using de-moivre's formula :

Q: 8. If sinx = , x is in quadrant II, then the value of cos2x is %3D 17 b) -161 30 161 353 a) 289 c)…

A: Given : sin x = 817 x is in quadrant II.     To find the value of cos 2x.

Q: sin?() + cos? () + tan? (4) 2 1/2 2 1 1/2

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Q: Cosx 1+sinx 11. 1+sinx 2secx Cosx

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Q: Let `f(x)= (9 sin x)/(2 sin x + 4 cos x)`. (9 cos x) (2 sin x + cos x) – (9 sin x ) ( 2cox – 4 sin…

A: Given f(x)=9sinx(2sinx+4cosx). The objective is to find f'x and equation of tangent line at π2.

Q: Evaluate sin 2x sin 4.xdx 2 b. sin 3 2x + C 3 1 a. sin ' 2x+C 3 c. cos' 2x+C 1 с. 3 d. -cos 2x +С 2

A: To evaluate the given integral: ∫sin 2x sin 4x dx

Q: True or False: sin- (sin æ) = x for all possible values of x. True False

A:

Q: Prove that sin 0 - COS 2 2 = 1 - sin 0.

A: L.H.S. =sinθ2-cosθ22R.H.S. =1-sinθ

Q: Prove that sin 0 COS 0 2 2 = 1 - sin 0.

A: 1. sin2θ+cos2θ=1 2. sin2θ=2sinθcosθ

Q: 1-cosx sinx

A: Using Trigonometry property,

Q: Solve x 2x 2x 2π cos - ( 2² -1) + sin ~¹ ( 24₁ ) + tan - ( ²²₁ ) = ² COS 2 +1 x +1 3 -

A:

Q: ·/₁ Evaluate cos x sin³ x dx. 2 cos(x) + cos¹ (x) ²/ X syntax error. + C

A: Given query is to find the integral.

Q: 1 + sin x Differentiate y = x + cos x

A: As we know that: The Quotient rule: fg'=f'·g+g'·fg2 The Power rule: ddxxn=nxn-1 Given:…

Q: - sin sin -y = sin (x+y) Prove that cos Xcos 4 -y 4 -x sin 4 X - 4

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Q: Evaluate * | (0² + 1) cos 0 d0. e2sine + 20cose – sine + c 02sine – 20cos0 – sine + c Option 1…

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Q: 1 what are possible values of cos x and tanx? 2 If sinx= Select one: V3 and tanx= 2 1 a. cosx= V3 V3…

A: Consider the right triangle with one angle x degree. Let a be the length of the adjacent side and b…

Q: Prove that sin? 0 + cosª 0 = sin“ 0 + cos² 0.

A: Using fundamental identity of trigonometry.

Q: to 11. If sin 18 0.309, determine the value of cos 72.

A: Answering question number 11 since 10th is already been correctly solved.

Q: solve for X SIN(4X+2)o * CSC(3X+5)o=1

A: