Consider the helix ?(?)=< cos(4?) , sin(4?) ,−2? > at t=π/6:

Q: sin(cos¬1/2x²) = v3x? sO:

A: Given:   SinCos-1 2x2=3x2   To find out: x=?

Q: 11. cos4x-cos2 dx sin4x-cos2x

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Q: Find if, y - x = sin(xy)

A: In this question we will use differentiation property for solving this question and after that we…

Q: 57. Use Eq. (5) to find sin x dx.

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Q: Find sin (2)dr (hint: use a half-angle formula twice).

A: Note: sin2x=2sinxcosx  Cos2x=1-2sin^2(x) And sin^2(x)+cos^2(x)=1 by using these formulas we solve…

Q: 3. Find d²y/dx² of y= x cos (5x) – sin² x/ |

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Q: Find d coscrin' (-2] the exact value

A: Find the exact value cossin-25.

Q: 6. (a) 2 cos?t (b) 3 sin 2x

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Q: General Sol. of  y' tanxsin2y= sin2x+sin2y is

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Q: 2- Calculate y": y = 5x2 Sin (3z) - 2x Cos (5x)

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Q: Graph the epitrochoid with equations x  =11 =cos t - 4 cos(11t/2), y = 11 sin t - 4 sin(11t /2)

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Q: a. y= 3(x³+4) b. y= cos-1(-3x)

A: we have to find dy/dx for given y

Q: sin x cos x dx 4

A: We have to evaluate the given integral.

Q: Find   cos(u/2)   if   sec u=7.519

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Q: find sec(A) and sin(0).

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Q: If sec(t)=−9.65, what is cos(−t)? If csc(t)=0.31, what is sin(−t)?

A: As we know from the trigonometric identities; 1). sinx=1cscx 2). cosx=1secx And The negative angle…

Q: Use the definition of sinh and the formula for cosine of the sum of two angles to verify that π…

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Q: 5. (a) 2e' sin? (b) e cos ?1

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Q: a. dx 1+ sin(ax)

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Q: Let sin(0) = . Find sec(20).

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