Use a counter-example to show that the following equation is NOT an identity. sin(x + y) = sin x + sin y

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A: Law of cosine is used to find the unknown side of a triangle if we know other two sides and the…

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Q: cosx CoS X xp sin x.

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A: sin(A + B) = sinA cosB + cosA sinB

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Q: f (x) = 4 cos ( %3D

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you…

Q: sin x xp = + cos x 1+c

A: ∫0π2sin x1+cos xdx Formula ∫xndx=xn+1n+1+C

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A: Given equation is r=76+6cosθ

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Q: If sin x = A + B cos 2x + C cos 4x, then A = 2 B " с =

A: Since you have posted multiple questions we will answer first problem for you for remaining please…

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A: Given the query is to rewrite the ue expression.

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A: Given that the function: fx=cosx-22.5°

Q: Verify the following identity: 2. sin y - 1 1 sin y -1 sin y

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Q: Simplify the expression V4 x2 as much as possible after substituting 2 sin(0) for x. (Assume 0° < 0…

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Q: Verify that the equation is an identity. sin 2x = 2 sin x cos x

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A: Given expression is: cosx+π3

Q: Evaluate sin2(x) cos*(x) xdx 32 C. 32 A. 32 в. D. 32 O A В

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Q: simplify the given expression  sin(2x)cos(6x)-sin(6x)cos(2x)

A: Explanation is given below...

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Q: When a and b are real, we define elatiblx with the equation ela+ ibix = eax , eibx e"(cos bx + i sin…

A: we know that am+n=am.an similarly, ea+ibx=eax+ibx=eax.eibx now, we know that eiθ=cosθ+isinθ

Q: Verify that the equation is an identity. = 2 tan a sec r 1 sin r 1+ sin a

A: We add the left side using LCD

Q: The following equation is correct: 2 sin(x) cos(x) dx CoS(2.x + C

A: We will use ∫ &amp; mθ = -cosθ

Q: Show that sin (A + B) + sin (A – B) = 2 sin A cos B. -

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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Q: cos(T+ tan 1 /2x)

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Q: cos e de sin² 0 + 4 sin 0-5

A: To evaluate the given integral.∫cos θ dθsin2 θ+4 sin θ-5

Q: simplfy the given expression  sin(5x) cos(8x) − sin(8x) cos(5x)

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Q: from Evaluate cos r sin x dr.

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Q: Write the given expression as an algebraic expression. sin(arcsin x + arccos x) 2 1- x* + X 2 + 1 1-…

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Q: for what value of x is cosx 1=5cosx is true

A: Solution: Consider the given equation: cos x .1 = 5 cos x Therefore, 5 cos x = cos x5 cos x - cos x…

Q: Verify that the following equation is an identity. cos 2x + cos 2y =2 cos x + 2 sin y sin y COS X-

A: We can use basic trigonometric formule to prove the Identity

Q: If the identity sin (x + a) = sin x cos a + cos x sin a is differentiated with respect to x, is the…

A: The equation is differentiated with respect to x. a is constant with respect to x.

Q: Evaluate sin2(x) cos*(x) xdx A. 32 32 C. в. D. - 32 O D

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Q: 3. Evaluate sin" r dr.

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Q: The expression D (sin x) is equal to sin ( x + 2 O True False

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Q: What are the properties of y = cosθ and y = sinθ

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Q: What value of x does NOT satisfy the equation sin' x + sin x = 0? O 3T 2 O T O 2T 卡|2

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Q: Rewrite cos(t+π/3) in terms of sin(t) and cos(t).

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Q: Write − sin ⁡ ( 2 x − π 6 ) in the following form: cos ⁡ ( B x − C ) + D

A: graph of -sinx   graph of cosx+π2   It means that cosx+π2 and -sinx both have same graph.   In…

Q: The expression D (sin x) is equal to sin ( x + 2. 学)

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Q: Write an equivalent algebraic expression that involves x only.    sin (cos- 1 x)

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Q: |x sin(4x) dx + C

A: I am going to solve the given problem by using some simple calculus to get the required result.