n() using the following diagram. His proof is not correct. C Statement Reason 1 mZB = 0 The acute angles in a right triangle are congruent. AB 2 sin(@) Definition of sine. %3D BC АВ 3 cos(m/B) Definition of cosine. BC AB 4 cos(@) = BC Substitution. 5 cos(8) = sin(0) Substitution

Q: (a) Usc onc itcration of Newton's Mcthod to approximatc the positive root of 2 sin r = r. (b) Usc…

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Q: 3.) S(1 – sin?xcos²x)²dx

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Q: .4 || (cos²e + sin?e) dp dz de 8 2(0*cos?8 + p*sin?e) p dp dz de

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Q: sin³xdx ? 1- cosx Which Jof the following is one of the correct steps to evaluate A) None B sinydy +…

A: Just I have simplified the given integrand function and find that option (B) is correct.

Q: -p² sin(w) cos?(w) – p cos² (») -p2 sin(4).

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Q: a) Show, from 1st principles, that if a small angle x is measured in radian, then: i) ii) sin x = x…

A: take a triangle as below :

Q: 3. cos? (z) sin“ (2) dz

A: Given, The integral is,

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Q: Which of the following formulas are NOT correct? Choose two(2) answer sinA sinB =-1/2…

A: We can write the correct option as below

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A: In trigonometry, cos(x+y)=cos x·cos y-sin x·siny and cos(x-y)=cos x·cos y+sin x·siny

Q: below - and tan e 0 3n and 플<0< 12 cot 0 =. cos 0 cos 0 =. cot 0 =_

A: If you like the solution then please give it a thumbs up... The Answer is:           Explanation:

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Q: What is the value of 1/2 x(3 cos(x) + sin(x))dx ? -7/2 Give your answer as an integer or as a…

A: Topic:- integration

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Q: V3 For number 4-5: Given sin a = and cos ß = -;, a is in the second quadrant and ß is in the third…

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Q: What is (sin(x))? How about (cos(x))? d17 d42 dx 42 COS(x 1

A: To determine:                           d17dx17sinx: Now, We know that the 'derivative of sin x  is…

Q: Evaluate the integrals

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

Q: 3 with t < a < - 5 Зл and Find the cos(a + b) given that sin a = 7 with 0 < b < 11 cos b %3D 2

A: We get cos a=1-sin2 a=1--352=1-925=1625=±45 As a lies n third quadrant, we get cos a=-45.

Q: What substitution should be used to compute | 1 dx? Q# -9 x = 3 sin (0) а. b. x = 3 tan (0 ) x = 3…

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Q: 3. * ... ... 35 21. Show work: trig ratio (sin, cos, or tan) of Z = = %3D trig ratio: =7' X =|

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Q: If sin t = 3 and t is in the 2"d quadrant, then i) tant = ii) sec t =

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Q: Sంబు ఒపా వింద ఇ + పిల్లయ 2-Sin LA Sin A tos A Sin A t cOS A 0.

A: Given : (2sin³A + 2cos³A)/(sinA + cosA) = 2 - sin2A

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Q: 10. What should be the value of A so that S A• sin (6x²) dx = - cos(6x²) + C, ? A. x В. 2х С. Зх D.…

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Q: Which of the following is true? | sin“ zdz (1+ cos a + cos² 2æ)²dx Ob. sin zdr = (1 – cos 2z)²dæ 2 1…

A: Given data: ∫sin4xdx We know that 2sin2x=1-cos2x Therefore, we get…

Q: (a) sin(e/2) (b) cos(e/2) (c) tan(8/2)

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Q: After a trigonometric substitution, which of the following is equivalent to dx ? ) Siócor, de (B) G…

A: Let I=∫1x2x2+16dxput x=4tanθdifferentiate w.r.t.…

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Q: S By an appropriate trigonometric substitution, S: I 1 √10 sin 0 cos² Ode Cos 0 10 sin 0 -do |…

A: Here we will use Trignometric sunstitution for given integral.

Q: C: Proof that (Answer one only) a)L (cos?t- sin?t) = %3D s2 +36

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Q: 1. What is the value of tan30°? V3 а. 2 3 b. 2 d. 1 2. What is the value of sin45°? 1 a. 2 C. 2 d. 1…

A: 1. tan 30°2. sin 45°3. sec 60°+csc 30° Note:     Question contain multiple part, we are answer only…

Q: 7 What is the exact value of sin if sin() = 5, where <v<n? 10 7/7 B 10 10 7/2 10

A: Given that,     sinv=725, where π2&lt;v&lt;π

Q: 4 pts Two angles, X and Y , are complementary. If cos(X)=, what is sin(Y) ? O not enough information…

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Q: Evaluating 9-x² dx using trigonometric substitution will lead to: A B © (D None of the given choices…

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Q: What is the value of x? √2 cosx-1=0 2sin3x+1=0

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Q: Q 5. (a). Simplify the following by using Demoiver's theorem. (1 – cos 0 + i sin 0)6

A: Given  the given expression is 1-cosθ+isinθ6. Apply Demoiver's theorem cosθ±isinθn=cosnθ±isinnθ

Q: Which statement is true? (On the test, you'll need to turn in your work for a problem like this) 17…

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Q: 15. Evaluate Sin x cosx dx 2x Your answer 16. Evaluate se 3cos 2x Sin 2x dx Your answer

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Q: 1 Which of the following is equivalent to -dx 1+ cosx+ sinx after appropriate half-angle…

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Q: dy If x=5+ cos20 and y=3- sin20 , what is -? dx (A) cot20 (B - csc320 © none of the given choices D…

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Q: b. sin? () = 2 over [0, 2n) %3D

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Q: s).F ecosa sin a da cos a sin a da 2

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Q: 2 and t is in the 2nd quadrant, then 6 If sint = i) tant = ii) sec t

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Q: A Moving to another question will save this response. Question 9 The suitable substitution to…

A: Explanation of the answer is as follows

Q: V2 cosy = 7, and angle x and angle y are both in the first quadrant. sina = %3D tan(x+y)=

A: We can find the answer as below.

Q: D let cOs x ) and cos x lies below the x axis e Find sin(2x), cos(2x) and tan (ex). ) Proof the…

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Q: a It is given that, ſx cos x dx = 0.5, where 0 < a < }n. i) Show that a satisfies the equation sin a…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: cos 0 = 4. V3 where T <0 < 3E 3 tan B = where 0 <B<. What is the exact value of Sin (0+ B)? Enter…

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Q: a) Use the formulas  sin(A + B) and sin(A - B) for toshow that sin A cos B = 1/2 [sin(A - B)+ sin(A…

A: a) Use the formulas  sin(A + B) and sin(A - B) for toshow that sin A cos B = 1/2 [sin(A - B)+ sin(A…