Find an equivalent expression to sin (z+) a) sin(2)-√3 cos(z) 2 b) √3 cos(z)+sin(z) 2 O c) - cos(z)+√3 sin (2) 2 2000(a)

Q: Which expression is equal to cos(6t)?

A: Recall:  cos(2t)=cos2(t)-sin2(t)     Given,   cos(6t)

Q: Prove the following expression 2cos²x+8sin(x) cos(x) can be written as a sin(2x)+b cos(2x)+c and…

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Q: write sin(3x)cos(6x) + cos(3x)sin(6x) as a single trig function

A: This question is related to Trigonometric identities, we will solve it using given information.

Q: Sin 0/1 + co² B) 2.

A: sinθ1+cot2θ                             =sinθ1+cos2θsin2θ…

Q: Show how sin(2) can be calculated using the fact that sin(7) 2

A: Recall: sinπ-θ=sin θ Given,  sinπ3=32

Q: Find the exact value of the expression in the terms of x cos(sin- ()) '25-(ӕ—2)2 V8+(z-30)2 125…

A: Inverse Trigonometry

Q: If sin(x+y) - - sinx + 뜰 conx, what is the value of y? O 0 이용 6

A: Topic = Trigonometry

Q: Use an appropriate substitution to integrate 2. A sin u +c 12r'sin (x?– 2) +c © 12sin (x2- 2) +c…

A: To evaluate the given integral.

Q: perform addition and use fundamental identites to simply sin(x)/1 + cos (x) +1 cos (x)/sin(x)

A:

Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

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Q: Evaluate f dx V4 √4x²

A: This we directly computed by the rule of integration that is there is no any dificulty to find the…

Q: Verify the identity: [sin 2x + (sin 3x + sin x)]/[cos 2x + (cos 3x + cos x)] = tan 2x

A: Consider the identity, sin2x+sin3x+sinxcos2x+cos3x+cosx=tan2x To apply the trigonometric identity,…

Q: The square root of (1 2i) is (1) V5 (cos (+ 2n)+ i sin (5 + 2n")) for n = 0,1 COS (2) V5 (cos (+ 2)…

A: The general form of a complex number is given by z=a+ib, where a,b are two real numbers and i=-1.…

Q: Can you express cos(7x) in terms of powers of cos(7x) Start from: cos(7x) = cos(7x) + i * sin(7x)

A: Note:There is a typo error in the question, it should be powers of cos(x) not cos(7x).Given…

Q: Which expression does (sin x)(cos 2x) + (cos x)(sin 2x) simplify to?  cos 3x  −sin x  sin 3x…

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Q: Evaluate: fcos In(sin 0 + 4) de O sin In (sin 0 + 4) - 2 cos 0 + 3 ln sin 0 + 4] + C O None of these…

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