6) r=-5 sin(30)

Q: )3--find all solutions of the equation 2sin? c-cosx=1 in the interval [o, 27).

A: To solve the following trigonometric equation  2sin2x - cosx = 1

Q: 10. Since (7,-1) is a point on f (x) cos z,which point will be found onf'(x) = cosx ? %3D O a (1,ח)…

A:

Q: The expression sin(3z) cos (2z)- cos (3) sin (2z) is equal to cos (5z) sin z cos z O sin (5z)

A: Trigonometry Addition Formulas The following are the trigonometric addition identity formulas for…

Q: 28. tan (2x) sec (2x) dx

A: follow the procedure given below.

Q: Compute : exp(i sin(e¬ni)).

A:

Q: How many solutions does  sin2(4x)=1/2  have in the interval (0, 5pi/8) ?

A:

Q: What will be the neutralizing factor of 7sin(4x +sin(2x)dx when it is first evaluated using product…

A:

Q: b) cos(-z)=?

A: In the question we have to find the angle of cosine which is lying in third quadrant as cosine is…

Q: By using Cauchy laws find: sin (2) dz -i2 cos (2) dz 2-T3

A:

Q: So sin (x²) dx cannot possibly be 2. Show that the value of Lisin

A:

Q: 4 sin (3z) dr

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: How many solutions does sin2(4x)=1/2 have in the interval (0, 5pi/8)?

A: Answer

Q: 5х, 5x sin°(cos* () dx 5 4 6 6

A:

Q: | sin(4z) cos(7z) dz.

A: To find:∫sin4zcos7zdz

Q: 12 "2 If Y= \n(Sinae), Prove y =y=- ノ

A: Here, the given function is: y=ln(sin x) So, y'=1sin x(cos x)=tanxy''=ddx(y')=ddx(tan x)=sec2x

Q: 2 | sin' O cos' OdO O cos

A: I have stated the used formula in the solution

Q: 4. When A + B + C = 180°, show that sin 2A + sin 2B + sin 2C = 4 sin Asin B sin C

A:

Q: | 6. Use a trigonometric substitution to evaluate x³√x²-4 dx.

A: We will find integral using  trigonometric substitution.

Q: 57 where 2 tan 0 = <0 < 3T 3 Find sin 20 7 24 24 25 24 25 25 24 4,

A: By using sin(2x) formula in terms of tan(x).

Q: 9 Determine fcot 20 sin' 20 d0.

A: 9. Given Integration can be simplified as

Q: 9) -135° Pos Neg Sin Cos -:-

A:

Q: السؤال 4 lun cos (플ev)-

A: We have to choose the correct answer

Q: [ san28 e tan 20 ,tan 28 sec 2 Bd

A:

Q: 1. Express each as a single trig ratio. a) Gos 20a cos 5a- sin 2 Oasin 5a b) sin 95° cos 45°- cos…

A:

Q: Find the first 3 Zerms o Sinx et a =?

A:

Q: (b) в — р2'а, + psin'ф а, + 2pz sin' ф а, sin²o as + 2pz sin*ф а,

A: The complete solutions are given below

Q: 4. Given the equation sinx = 0.2, one solution is x = sin(0.2). What is the other solution on the…

A:

Q: The simplified form of cos ( - 5z) 5z) + sin 6 52) + sin (; + 52) O v3 cos 5x + v2 sin 5x O v2 cos…

A: This can be evaluated as:

Q: 7) (r + sino – cos0)dr +r(sin0 + cos0)d0

A:

Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin301² [cos 40+ i sin40 1³[cos 20-i sin2015 using De…

A: The given expression,      cos 2θ-isin 2θ8cos 3θ+isin 3θ2cos 4θ+isin 4θ3cos 2θ-isin 2θ5 De Moivre's…

Q: What is the largest value of r that can be obtained from the equationr = 6 sin u?

A: We have to find largest value of r for the equation: r=6 sin u We know that sine function occurs…

Q: (8. e Sin y Ausi Sin 2

A: Solution is written in below steps.

Q: 7/3 tan'x secºx dx 30.

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: If 5 tana =4 5 sin a – 3 cosa 1 Show that 5 sin a + 2cos a 6.

A:

Q: 7. Show that sin (+ x) = -cosx.

A:

Q: 2. Show that y = ce sin

A:

Q: 5. 4 f sin + 2zdz

A:

Q: How many distinct solutions does the equation 2 sin 2x = - -V3 have in the range [ 0°, 360° )? Enter…

A: To find the distinct number of solution does the equation 2 sin2x=-3;    x∈[0°, 360°)

Q: 7. y = tan e³x + etan3x

A:

Q: (12) ſ sin²x cos²x dx sin4x sin4x 8. 4 16 Option 1 Option 2 sin2x - 8. Option 3

A:

Q: Compute sin (3r)dr (25z4+1)2 -

A:

Q: 9) Show that the equation x+ sin x=1 has at least one solution in the interval0,

A: Given equation is x+sin(x)=1 which can be written as f(x)=x+sin(x)-1 We need to prove that f(x) has…

Q: 5. [(6+3z)cos(1+4:)dz

A: To evaluate the given integral.

Q: /2 Evaluate using Wallis' Formula: sin5 x cos6 x dx

A:

Q: b) Use the hyperbolic identity cosh(2x) = 2 cosh? (x)–1 to solve 4 cosh(2x)- 22 cosh(x)+19 = 0.

A:

Q: #4 anros y" +47= sin (2x) Hint: you need to modify one time. Long Алаевна

A:

Q: Suppose that π/2≤θ≤π, sin(θ)=2/10, find tan(θ)=______. (round to 3 decimal places)

A: Given:-sinθ=210π/2≤θ≤π

Q: cosh(3i)is equal to O -cos3 O cosh 3 cos 3 O sin 3

A: