6 what is sin(-x)? 7 Given that sin(x) Provide your answer below: sin ( – x) =

Q: sin 0 + In + 22+3 = -3 - cos 20 - In y? + 327-4 = + 2ln y+ 22 -3 1+ (cot 0)2

A: Given system is sinθ+ln1y+2z+3=-3 lny2+32z-4=1-cos2θ2 21+cotθ2+2lny+2z=-3

Q: 2.) Evaluate using wallis formula 1-x² dx and let x= sine

A: Given ∫01x41-x2dx By using 1-sin2(x)=cos2x And Wallis formula…

Q: 10- Sin'x- cos'x is equal to: a)2x b)1 c)-1

A: 10-sin^2(x) -cos^2(x) We apply trigonometry rule

Q: (c) Prove that sin x 7C sin 2 x2 dx +4x+5

A: The integral function is ∫-∞∞sinxx2+4x+5dx

Q: 8+tan x dx 1-sin?x i.

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Q: 2. Find the exact value of sin(a + B) under the given conditions. 5 tan a = 12 코T< a< 프, sin ß = -,…

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Q: 1. Explain why sin(n+0) =-sin@ using a diagram and x, y, and r.

A: Solution of given problem is followed by

Q: If x = 3 sin(0), then а. V9 + x? cos(8) 3 b. cos(x) Vx2 + 9 C. tan(x) d. cot(x) = 3 || е. sec(x) 3 O…

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Q: 13. Simplify the leftandside so that LHS=RHS sin(b)/cos(b)-1 + sin(b)/cos(b)+1 = -2/tan(b)

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Q: Q3. Use substitution to show that x = n is a solution to the equation sin(x) – cos(x) = 1. Show your…

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Q: 5. Verify the identity: sin(x- y)cos y+cos(x– y)sin y = sin x

A: Explanation of the solution is given below.....

Q: 2. 5. xcos x (sin'x - 2sin'x + sin°x)(cosx)

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Q: 4. Find the exact value of cos *x- sin "x-cos (2x). 4 cos x- sinx- cos (2x) = (Simplify your…

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Q: Evaluate the integrals in Exercises

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Express sin 20 in terms of x, where x = sin 0. A. sin20 = sin? 0 = x² 2x(1– x² )² C.sin20 =…

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Q: -- cos( sin-!x) + C 1-x² A True B) False

A: SOLUTION-

Q: Sohe nin(x+y) + cos(x+y) Solve = sin

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Q: B) Express the given quantity in terms of sin x and cos x sin (플-x)

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Q: An equivalent expression to sin(-x) is: Oa) - sin(-x) b) sin(x) Oc) - sin(x) d) cos(x)

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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: 9. cos (21) di 10. 11. sin'x cos's de 12.

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Q: 1. Determine (i) |cos (2x– 7) dx dx (ii) x +9 (ii) dx 4-9x² 2. Determine (sin x cos x dx using (1)…

A: Since, you have posted multiple questions we will only first question with three subparts as per our…

Q: Find the value of x between 0° and 180° such that 2 sin(x+ 30°) = cos(x-45°). %3D

A: You know:

Q: 1 what is sin(-x)? 7 Given that sin(x) =

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Q: 4. If x= sin² and y = 1 when x = 0, then find the value of x when y = 3. 0 O 8 None of these

A: Topic- differential equation

Q: 1 What value of x will make sinx = 2 A none of the given choices

A:

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: 1. The value of A. sin-¹(²*²+¹) + C 5 sin-¹(²*x+¹)+C B. C. sin-¹(+¹) + C D. sin-¹ (¹) + C 2x

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Q: 2. Explain the difference between sin(2x), 2sin (x) and sin? (x).

A: Follow step 2

Q: 10. Find the positive root of sin x-x = 0. %3D

A: To find all the positive roots of the below equation using the fixed-point iteration method.…

Q: 4 cos ' (sin (ax t)

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Q: 1. Evaluate (3260)"]" × (-5+ j6) (cos(3 + j5)]1-/) Sin sin-

A: We have to find: sin-13∠60°3*×-5+j61jcos3+j51-j. We will find the interior parts first on different…

Q: tan? 20° – sin? 20° Compute: Show your work. tan² 20° sin² 20°

A: Given  tan220°-sin220°tan220°sin220°

Q: Prove (Start either from the LHS or the RHS but DO NOT work from both sides at the same time) 1.…

A: sin2x=1-cos2x and,  tanx= sin(x)/cos(x)

Q: 1) Using the formula: cos(x +y) = cos x cos y – sin x sin y, prove in steps that: cos? x = 1+cos 2 x

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Q: 6. Evaluate |2 Sin xʻdx, by (i) mid-point rule, and (ii) Simpson's 1/3 rule.

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Q: 4. Establish the identity using the sum and difference formulas: sin (m – 0) = sin 0

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Q: 3. Express into standard form: = = 8[cos (-5) + + sin(-5)] Z i 3 3

A: Solution

Q: 5 sin-ty = 0 b 3.

A: According to guidelines we should have been able to solve only one question at a time Solve # 3

Q: 15. Evaluate | sin° x cos xdx 3

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Q: 2. Evaluate x sin x cos xdx.

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Q: Q3:A| Prove that:- cos x 1) 1+sin x 1+sin x = 2 sec x cos x tan? x 2) tan? x+1 = sin x

A: topic - trigonometric identities

Q: 1 In 3n 1 sin (3x) [cos"-1 (3r) sin (3r) + 3(n – 1)In-2] %3D I1 = %3D - 3 What is I, ?

A: Given : In = (1/3n)  [cosn-1 (3x) sin (3x) + 3(n − 1)In-2 ]  I₁ =  (1/3n)sin (3x)

Q: 23, sin 50° + sin 40° 23. sin A VZ cos 5° B 2 cos 10° 2 cos 5° D V2 cos 10°

A: Trigonometric identity: sin x+sin y=2sinx+y2cosx-y2

Q: tx)+ Sin(꼴-)- -26S X %3D Prove sin

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Q: 3. y³x2 – cos- sin x² + esin x = 1 y DIFFERENTIATE THE GIVEN

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Q: Show that : |sin x |= CoS nX Σ n2 even 414 2/7

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Q: c. sin-1(3)3

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Q: 7. Prove the identity. – sin 3 TT -x= 0 2 sin +x 2

A: