18. Use periodicity to express sec in p given that sin

Q: 1 Use the Trapezium Rule, with seven ordinates, to evaluate In(sin.r+3)dxcorrect to four decimal…

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Q: If y = tan?[sin³e]? y' will be equel to 2.834 × 10-3 at 0

A: Given: y=tan2[sin3θ]To find the y'=? at θ=π6

Q: in Apr 23, 2021. Evaluate Sin? (ax) Cos (on) dx

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Q: Prove the following Sin hZ=0

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Q: • y = sin¬(10x) %3D

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Q: find the four non zero terms in the maclaurin serise for sin h-lx

A: Formula Used: We will need following binomial expansion:

Q: 3. If cos x =- Find the sin x and tan x in the interval 13 XE

A: Given:        cosx=-513  we know that                      cosx=adjacenthypotenuse…

Q: If f(x) f'(2) = [name] cos – 6 tan ™, then

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Q: If z = x* tan2, find at (1,1). дхду

A: Note: We will answer only first question as you haven't mentioned which question you would like to…

Q: 1. Differentiate the following with respect to the variable given. 1 cosx 2 sin' x tan

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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: Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4p]…

A: Given equation is sinx=1. To find the exact value of x in the interval 0,4π using the graph.…

Q: 口 | 1. What is the frequency of the periodic function 5 sin() f(x) = %3D 3.

A: Given Data: Equation: fx=5sin3θ49 ......1 The general equation of the sinusoidal function.…

Q: 6. By using u = tan 0, evaluate | tan 0 sec*e de .

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Q: Suppose sin u=x and u is between 0 and 2. What is cos u? V1- 22

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Q: 3. Prove that the identity is true. sin*t- cost = tan²t-1 cos't

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Q: Evaluate: / [cos(x) – sin(x) ]dx

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Q: 4. Describe a way of evaluating x cos? x dx. sin' х. х со

A: We will use the reduction formula,  to solve this integral. where n ≥  is an integer. Now., we…

Q: 3. Prove that the identity is true. sin*t - costt tan-t– 1 cos't

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

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

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Q: if g- Sin (cos 8x) Find y NP

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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: 3. Find y' for y = cos(sin² x)

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4p]…

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Q: 8. Evaluate sin (x) cos(r)dr using an appropriate substitution.

A: here  we use the formula  ∫(xn)dx=xn+1n+1+C     according to our guidelines we can answer only…

Q: Prove that: Sin'x+ cosx=I

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Q: Solve for the convolution of sin (t) and cos (t).

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Q: Evaluate sin(x) · In ( cos(x)) dx using substitution.

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Q: 35. Use property IV of Appendix A to verify that 1 L'{arctan(a/s)} =sin at

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Q: 5) prove that = sin 'x +e using method of trigonometric substitution.

A: To Prove- Prove that ∫dx1 - x2 = sin-1x + c using method of trigonometric substitution.

Q: Recall that cos 'x = arcas x. find %3D 1/2 X sin(cou-x) dx

A: Answer

Q: 4. Use Walli's formula to evaluate 2 sin*x cos°xdx.

A: Given integral is as below:-                  ∫0π2 sin4xcos9xdx

Q: х Given that t= tan , show that: 1-1? 2t d) sin x = 1+t? e) cosx = 1+1? 2t f) tanx = 1-?

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

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Q: 2. Evaluate x sin x cos xdx.

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Q: 17) Prove the following: a) (sin x)(sec x)(cot x) 1

A: Since secx=1cosx  and cotx=cosxsinx Then LHS =  sinxsecxcotx=sinx1cosxcosxsinx

Q: 5. If x = 3tan 0, find sin e in terms of x.

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Q: Is this: sin x cos y- cos x sin y/ cos x sin y reciprocal quotient pythagoreom  algebra

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Q: 6. Use the Intermediate Value Theorem to show that the following equation has at least TWO distinct…

A: Intermediate Value Theorem states that ''If a continuous function has values of opposite sign inside…

Q: 17. Determine the equation f(x) = cosx as a sin function.

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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: (11). - cos?(2y) sin? (x), y(등) =0 Workings y= tan '(z - 글sin 2v) +

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Q: Assume sin(0) = 12 where 0 < 0 <. Compute the following in terms of x. tan (20) cos (2) - -

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Q: Determine the period as requested. 5) Feriod of y 5 sin 4x A) 4 C)2 -1/2

A: In this question, we want to find the period of the given function.

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

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.