Rewrite – 4 sin(x) – 5 cos(x) as A sin(x + ø) A = $ =

Q: 24 cos 4x – 32 sin 4x а. (с, + 4x) сos 4x + (c, + 3х) sin 4x b. c,e2x + C2e 3x + 3 sin x C. none of…

A: follow the next step

Q: 10. Find the exact value of cos 2x given that cos x =

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Q: Show that A" cos (ах ah + b) = | 2 sin cos a + bx +n (ah + T 2

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Q: -T/4 sin x 1+cos²x

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Q: Find all values of x in the interval [0, 2?] that satisfy the equation. 6 cos(x) + 3 sin(2x) = 0

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Q: Find sin 2x, cos 2x, and tan2x if tanx = and x terminates in guadrant II. sin 2x ? cos 2.x tan 2x…

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Q: 2) VERIFY THE IDENTITY sin +0 =-cos 0. 2.

A: We need to verify the identity.

Q: 2n sin(30) do 4. Jo 5+cos²(0)

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Q: 8. Show that sin a (1+ tan a) + cos a (1 + cot a) = sec a + csc a.

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Q: Verify the identity : cos (x - π/4) = √2(cos x + sin x)/2.

A: We use cos(A-B)=cosAcosB+sinAsinB formula

Q: Express the 10th term of ( x1 + x2)º in terms of sinusoidal functions (sin, cos).

A: The expression is x1+x220. As we have obtained…

Q: Evaluate sin (3x) cos (6x) dx Select one: cos(9r) A cos(3r) tC 18

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Q: 2 cos" (x)–sin°(z)+1 cos(x) 3 cos(x) 10. Verify the following identity, justifying each step.

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Q: S Show that L(cos² 3t – sin² 3t)= 82+36

A: Using Laplace transform,

Q: prove the identity  sin^4(t) - cos^4(t) = 2sin^2(t) - 1

A: We know that ,  sin 2 ( t ) + cos 2 ( t ) = 1  cos2 ( t ) = 1 - sin 2 ( t )

Q: Evaluate So sin(x) dx 1+sin(x) 2 Select one: O 1+ 2 2 -1-5 -1+5 2 2

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Q: If tan then 1– 2 1+ z2 COS X 8 |N

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Q: Using appropriate substitution, sin³ (3x)cos*(3x)dx is equal to -cos"(3x) + cos"(3x) + c - cos (3x)…

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Q: Find sin2x, cos2x, and tan 2x if cosx - and x terminates in guadrant III. 13 sin 2x cos 2x tan 2x

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Q: 40 a) Find sin' xcos' xdx by using substitution u = cosx.

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Q: 2T Rewrite cos x + 3 in terms of sin(x) and cos(x)

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Q: Use the Intermediate Value Theorem to prove that sin x − cos x = 3x has a solution, and use Rolle’s…

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Q: Verify the identity. 2 sin(x) cos(x) = 1 (sin(x) + cos(x))2 - 1

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Q: Q4: Prove that: cos?x – sin?x cos²x - 1- tan?x

A: We need to prove that cos2x-sin2xcos2x=1-tan2x We will use tanx =sin xcos x

Q: Verify the identity sin 4t = 4 sin t cos3 t - 4 sin3 t cos t.

A: We have to verify the identity: sin4t=4sintcos3t-4sin3tcost We know following trigonometric…

Q: prove the identity  sin(x) + sin(3x) = 4 sin(x) cos2(x)

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Q: Verify the identity sin t - cos 2t = (2 sin t - 1)(sin t + 1).

A: sin t - cos 2t=(2sin t-1)(sin t +1)Formulascos 2t= 1-2sin2t

Q: Prove that sin x+ cos -1 -1

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Q: |(9 cos(9 x) +4 sin(4 x))dx =sin(9 x) - os Select one: True O False

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Q: 1) Using the formula: cos(x +y) = cos x cos y – sin x sin y, prove in steps that: cos? x = 1+cos 2 x

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Q: PROVE that sin x = v1 – cos² x is NOT an identity.

A: Topic:- trigonometry

Q: Solve the equation for x if0< x < 2n. 27. 3 cos(2x) – 9 sin r Preview

A: As we know cos 2x = 1 - 2 sin2 x For quadratic equation,  ax2 + bx + c =0 , We have to use quadratic…

Q: Verify the identity : sin 4t = 4 sin t cos3 t - 4 sin3 t cos t

A: Verify the identity : sin 4t = 4 sin t cos3 t - 4 sin3 t cos t

Q: 4. Verify the following identities: a. sin 3x = 3 sin x-4 sin3 x b. 1+ cos 10x = 2 cos? 5x %3D

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Q: 24. Prove the identity 1 – (sin x – cos x)2 = sin 2x

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Q: tan x e За. et 3b. cos“ x e* -7

A: PART A- Concept Used: secx=1cosx We want to evaluate ∫etanxcos2xdx Calculation:…

Q: The suitable substitution to evaluate sin 4(x+2) dx is None OA [1-cos8(v+2)] В. [1+ C. 2 + cos8(r…

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Q: Rewrite cos ( x –) in terms of sin(x) and cos(x) 3

A: we know that cos(x-y)=cos(x)cos(y)+sin(x)sin(y)

Q: 2. Evaluate x sin x cos xdx.

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Q: Find sin 2x, cos 2x, and tan 2x if tanx=-. and x terminates in guadrant IV 3

A: sin 2x= 2 sin x cos x cos 2x=1-2sin2x tan 2x=(sin 2x)/(cos 2x)

Q: Rewrite cos x in terms of sin() and cos(x) 4

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Q: Show that : |sin x |= CoS nX Σ n2 even 414 2/7

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Q: Find sin 2x, cos 2x, and tan 2x if sinx= and x terminates in guadrant IV. sin 2x %3D cos 2x %3D tan…

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Q: Prove: sin? xcos?x = - cos(4x). 8.

A: We will use various trigonometric formulas to prove the given identity.

Q: Use the identity cos alpha cos beta = 1/2[cos(a-b)+cos(a+b)] to rewrite 2cos3xcos2x as a sum of trig…

A: The given identity

Q: Verify the identity. 1+ sint cos t ost 1- sint

A: Given problem: 1+sin(t)cos(t)=cos(t)1-sin(t)

Q: 7. Prove the identity. – sin 3 TT -x= 0 2 sin +x 2

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Q: Rewrite cos ( x in terms of sin(x) and cos(x). 3

A: Topic - Trigonometric identities Cos (a-b) = cos a cos b + sin a sin b

Q: 3 Evaluate COs x sin æ dx. sin*(x) X + C

A: