If sin (x – -) = A cos x, then the number A is equal to A. π С. О В. Е D. –1

Q: If cos (x +) + sin (x- ) = A, then the number A is equal to А. —2 В. — 1 С.О D. 1

A: compound angle formulae of trigonometry.

Q: (2) If 5 Sin A +3=D0 where A E]T, [, and 25 Cos B -7=0 where BE] 2n [, then find the value of Sin…

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Q: 4 sin? x cos xdx

A: Explanation of the solution is given below..

Q: Given that tan² O +1 00|m O ± IN 11 8 000 = 100 8S 3 8, what is the value of sec e?

A: I have stated the used formula in the solution.

Q: Given that cos(x)=−1/2, what is cos(−x)?

A: Topic :- Trigonometry Answer cos(-x)= -1/2

Q: 9. Given that sin A= 5 , where OCA<II, and tan B = -4, and tan B= 4 2. %3D 3. where 3 TT <B <2 Tl,…

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Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

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Q: 3 with A e QIII , find sin2A 8 7. If cos A =--

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

Q: 무 2. If 270° <θ< 360° and cos θ %3D 를, find sin 을. O -4 6 O -4

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Q: uppose that sin x= -1/2 and pi < x < 3pi/2 and that tan y= 5 and 0 < y < pi/2. find the following…

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Q: 3 5 3n If cos x = - 5 , where sin (x - y). , and cot y = 12 , where 2 determine the exact value of

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Q: S cos“ xdx = sinxcos² x + sinæ + c Select one: O True O False

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Q: If sin(θ) = 0.788, then what is the approximate value of csc(θ)?   1.269   4.717   0.212   0.788

A: Given that sin(θ) = 0.788 To find the approximate value of csc(θ)

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

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Q: 2. To create an identity for the equation cos x( 1+cotx) = A, where A would need to be A. cos'x B.…

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Q: What values of x, within the in s 2x + 10 sin x - 7= 0?

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Q: If 0 = then 3 %3D sin(8) = %3D cos(e) = %3D

A: We have  this can be also written as

Q: Given that sĩn = %3D 2 |cos 플 호 and COS %3D sin = cos 4 = show without Ee using a calculator that…

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Q: If sin A lind cos 2A

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Q: Given that cos(x)=0.61, what is cos(−x)?

A: We will solve the problem

Q: Show that (1 – e") = 2 sin ( - a eil(a-r)/2]

A: To show 1-ejα=2 sinα2ejα-π2 , simplify left hand side expression and show equivalent to right hand…

Q: A certain substitution gives S sin³ x cos" x dx = S(u7 – u5) du. What is n?

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

A: In the question it is asked to calculate the solution of cos2x=1+cos2x2 using the formula cos(x+…

Q: It is known that sin 36°=sin x and xe[0°,360°] . Write down all the possible value(s) of x

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Q: 22. Given that4 cos 0 + 3 sin 0 = R sin(0 + a), the value of R and tan a are respectively 3 A 25…

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Q: 10. If 0° < 0 < 90° or 180° < 60 < 270°, explain why sin 20 is always positive.

A: All sin cos tan rule :

Q: 0° S (c) Prove that: 2cos 20. cose 2 + 2 tan0. sin0 = %3D cos?e – sin? e cose o AEGW is drawn.

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Q: help!

A: Refer to the question, we need to sketch the provided function.

Q: In order to eliminate the parameter from x = 3 sin t and y = 2 cos t, isolate________ and_______…

A: Given x=3sinty=2cost

Q: If A=2(1-cos 0)â, – pyâ, (1– cos ¢)â, – ppâ, +zcos² þ⸠, what is 4 8. V•A ?

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Q: 1 Show that sin e 8 cos (20) + 2 cos (40).

A: We need to show that, sin4θ=38-12cos2θ+18cos4θ

Q: If f(1, y) = e“ sin 7y, then fay is given by: o - 28 et sin 7y O - 28 e“ cos 7y O 28 e" sin 7y O 28…

A: Given that: f(x,y)=e4x.sin7y

Q: If  sin⁡x=e^y,  0<x<π, what is dydx in terms of  x?

A: Given sin x = ey   ..................(1) Differentiating both sides with respect to x  d(sinx) / dx…

Q: 2-Find O for: y3tan? (cos x).

A: Using Chain rule we can solve the given derivative problem

Q: If /(sin(@))° cos(@)d0 = u' du, then u must be equal to Select one: O a. sin(@) O b. – cos(0) O c.…

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Q: 16. If sin O - cos O = 1 / 3, determine the value of sin O cos O. A. 5 / 4 B. 5 / 9 С.4/9 D. 4 / 5

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: b. Given that z = el®, show that z" += 2 cos ne. Hence, show that cos 50 = 16 sint 0 – 112 sin² 0 +…

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Q: 22. Determine Sz sin? y cos y dy

A: Given that: ∫0π2sin2ycos6ydy

Q: 7. Given that sin a 15 and tan 2ß where a and 2ß lie in the interval ( 3t, 2 a) cos 2a b) sin B

A: Given that: sinα=-815tan2β=125

Q: 2. If sin a =,0<a< 3. 2V5 ,where <B < 2n 3 . cos ß = Determine the value of a. sin(a + B)%3D b.…

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Q: Using an appropriate substitution, f sinº (x)cos'(x)dx is equal to: cosl +C 11 cos 11 O Ths opton O…

A: We will find the integral by substitution as following-

Q: 20 Establish the identity: 1- cos e sin e sin e 1 + cos e LHS Sunt

A: Let us prove the given identity.

Q: 17. Choose the best answer. (- - ) Ifain ( - ). cos z and sin 3 find cos 2 2 1 2 V3 2

A: Here we have to find the value of cos(pi/6).

Q: 5 If sin u = 13 12 cosu = 13 3 and cos W = 5 W = --, find the exact value of each of the following:…

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Q: dr + r tan 0 = cos? 0, do = 1. 4.

A: Given DE is drdθ+r tanθ=cos2θ   and rπ4=1 solve the given DE

Q: S(x) - e 05 (2 cos 2.x+3sin 2.x) 7. , evaluated at x 1 rad

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Q: 7) Given that tan(a) = with a in QIII and cot(B) = --with B in QIV, find sin(a +B) and cos(2a). %3D…

A: Given : tan(α)=23 with α in QIII and cot(β)=-14 with β in QIV. The objective is to find the value of…

Q: Question in Image.

A: At the outset I must say it's an amazing question. Information is given about α and the questions…