Simplify the expression. cos(2 tan(x))

Q: csce cos e 5. csce-tan e cos e-sin? e

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Q: sin xdx 3. S 7+cos? x

A: Given integral, ∫sinx dx7+cos2x

Q: -(주) Evaluate the expression sin Cos

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Q: | cos(n/x25) dx x26

A: To Determine: Find the integral,

Q: 2-Sin?(x) -1 = CoS ? (x) Simplify foa function. single tring

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Q: snip

A: The given identity sinθcosϕ2+sinθsinϕ2+cos2θ=1

Q: 10* -dx may be written as AlnlsecB*+ tanB* +C• where A, B, and C are constants not equal to zero.…

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Q: 30 sin? x = 30 + 15 cos x

A: We have sin2x=1-cos2x. Now the equation becomes 301-cos2x=30+15 cos x⇒30-30cos2x=30+15 cos…

Q: p(x) = sin x cOS X Select the correct response: o tan x O cos x - sin? a sin? r – cos² x .2 -

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Q: a) f(8) = -3 cos (e + ) + 2

A: The general form of a cosine function is y=acosbθ+c+d, where a, b, c, d are constants and a is the…

Q: cos? sin' (금) - 2=0

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Q: Establish each identity.

A: To prove the identity, cosα+βcos α cos β=1-tan α tan β.

Q: Simplify the identity, show all steps. sin(x) 1+cos(x) 1. 1+ cos(x) sin(x)

A: We use identities  sin2(x) +cos2(x) = 1  1/sin(x) = csc(x)

Q: cos (t) Simplify to an expression involving a single trig function with no fractions. sin (t) + cos…

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Q: Write an equivalent sine function for :f(x)=cos (x-22.5)

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

Q: 10 20 Which expression gives the value of x? A) 10 tan20° B) 10 cos20° 10 C) tan20° 10 D) sin20°

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Q: Rewrite the expression as an algebraic function of x and y. sin(cos-1(x) – tan-1(y))

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Q: sin(h) dh 1+cos? (h)

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Q: 2 cos? x – sin x – 1 = 0

A: We need to solve the equation 2cos2x-sinx-1=0.

Q: (sin" (e* 3 + cos I -00

A: We first get rid of the negative exponents

Q: sin 34x dx 1 + cos? 34x

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Q: b. 3 tan e sin e-2 tan e 0

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Q: Power 2 ·cos. x. ² d.x.. 015 a f. cos

A: Solution a: Given ∫00.5cosx2dx Since we know that cosx=1-x22!+x44!-x66!+... then…

Q: Evaluate f 1+cos 4x dx 1-cos 4x

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Q: S(cos x – sinx )²dx

A: the given integral is: ∫cosx-sinx2dx we have to evaluate the integral.

Q: sin?A = 01- cos?A cos?A - 1 1+ cos?A

A:

Q: (c) cos? x = csc x CoS X/tan x + cot x Answer:

A: Given, cos2x=cscx cosxtanx cotx Take Right Hand Side: cscx cosxtanx…

Q: Verify the identity. (Simplify at each step.) (1 + cos a)(1 – cos a) = sin² a (1 + cos a)(1 – cos a)…

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Q: =sec? Ge) 2. cos'(x) tan(x) df da (3) If f(x) = In find You do not need to simplify. 4x-7

A: we know that  d/dx(In(x))=1/x d/dx(u/v)=(v du/dx-u dv/dx)/v^2 d/dx(tanx)=sec^2(x) d/dx(xn)=nxn-1

Q: Simplify the expressions below. (a) tan(cos−1 x)     (b) sin(tan−1 x)

A: (a)

Q: sec? e OP- Find Jo tan? 0+1

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Q: | sin' x cos? x dr.

A: To find: Solve the given integral in the question

Q: Rewrite sin (x + A) in terms of sin æ and cos x. Enclose arguments of functions in parentheses. For…

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Q: V. Rewrite the expression as an algebraic expression of x. a) sin(cos-1 r) b) sin(tan-' x)

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Q: Sin B = 17 Cos N = Tan B = 15 CO

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

Q: p(x) = sin cos x Select the correct response: tan x O 1 O sin? x – cos² x 2 COS“ x -

A: Given that

Q: S 3 cos 5x dx

A: It is given that,  ∫3cos5x dx It is known that the integral of cosx is sinx but if we have,  ∫cosax…

Q: 13) Simplify: sin(x) (csc(x) - sin(x)) A) cos? x C) 1 B) 0 D) sin² x

A: sin(x)csc(x)-sin(x)

Q: VI. Use the given information to find the exact function values. a) sin (a/2) b) cos (a/2) c) tan…

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Q: 6. sin A = cos A tan A

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Q: Simplify the expression. cos (sin−1(9x)) = tan(cos−1((1-(x)/(64))1/2) =

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Q: cos?e 5.- = 1 + sin0. %3D '1-sin0

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Q: Complete the identity. sin2 e-1 = ? sin e +1 O sin e O cos? e O sin e - 1 O sin e + 1

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Q: cos(A + B) 1- tan Atan B COs A cos B

A: To prove:1-tanAtanB=cosA+BcosAcosB

Q: 10 -dx may be written as Aln secB+ tanB*+ C. where A, B, and C are constants not equal to zero.…

A: Given: I=∫10xcos10xdx   We know that; ∫secxdx=lntanx+secx+C   So, we can also write as;…

Q: cos²x dx 1+sin x

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Q: sin 4x dx 1+cos2x

A: To find ∫sin4x1+cos22xdx  Let u=2x,   du=2dx⇒dx=du2, Then =∫sin 2u1+cos2udu2=12∫2sinu cosu1+cos2udu…

Q: 3x 3x Which of these is equivalent to sin () cos () + cos () sin ()? sin(x) cos () O- sin (5) O sin…

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