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Q: Given that sin(a) = 2/5 and cos(b) = − 1/3, with a and b both in the interval {pi/2,pi),find the…

A: Explanation of the answer is as follows

Q: Q: If a cose - b sin 0 = c, Prove that a sin e + b cos e =+Va?+ b² – c² .

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Q: 2. On the unit circle, if sin 0 and e<T, find cos 0 3

A: Here value of sinθ is given         sinθ=23 and θlies in second quadrant (π2&lt;θ&lt;π) given in the…

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: If x= cos³(e) – sin?(e) and y=1-tan?(e) so: Find for e = 30° and correct to three significant digits…

A: We have to find the first derivative and second derivative.

Q: If sin A- where 5 <A<T, and cos B = where 13 B< 2n, find: 2 cos A b tan A cosec A d cot Be cos (A +…

A: We will find out the trigonometric ratios

Q: A coil of inductance 1 henry and a resistance of 20 ohms is connected to an emf E= 200 sin(20t),…

A: Given  L=1 henry R= 20 ohms  E= 200 sin(20t)

Q: Find out Sm(A+B)=D5n A +SB? Sin (A+6=? Cos (A-B)=? Sn(A-B=1 CooCA+B)=7

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Q: -1 etermine sin (tan d) if d = 45°. Do not include the degree symbol in your answer. rovide your…

A: given that d=45o we need to find sin-1(tan(d)) let y=sin-1(tan(d))

Q: Using the appropriate special triangle, determine e if 0° < e< 90° for sin e= 2

A: Given data: The given trigonometric expression is sinθ=√3/2. The below figure represents the right…

Q: S. | 2sin°e cos*e de=

A: to find ∫0π2sin6θcos4θdθ we can write cos4θ=cos2θ2 and cos2θ=1-sin2θ substitute the values into the…

Q: 7л Determine the exact value of cot 6 Oa) -2 b) √3 Oc) -√3 O d) 1 √3

A: Find the value of cot(7 pi)/6.

Q: 1. In the accompanying diagram, what is sin E? E A. В. C. D. 5. 4 G

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

Q: 32. What is e in the equation sin (e- 20°) = cos (20 + 5°)? а. 150 b. 25° c. 35° d. 75°

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Q: If cos t = – and t is in the 3rd quadrant, then sin t V45 7 V45 7 /53 7 V45 2 V45 2

A: We have to find the value of sin t if t is in third quadrant and cos t=-27. We know the identity,…

Q: Find the general solu tion of the diFRerential equation (Dー+60ト9 こ Cos 3メ

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Q: Find e, 0° s e < 360°, given the following information. V3 and e in QIII sin e 2 e =

A: The given value of sinθ=-32 Since all trigonometric ratios are positive in 1st quadrant, therefore…

Q: 14 to the nearest degree what 29 Consider AEFG where m/F 90°, If sin E = is m/G?

A: Given,          Consider the ∆EFG where ∠F=90° and  sinE=1429

Q: is an acute angle right e . A Suppose in a triangle and sih e = 0·6 find Cos s &

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

Q: For a given expression E = 690.00 cos(x) tan(x) sin2(x), find the ratio Ea : E for x = 5 degrees.…

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Q: if csc(e) = 15 and 0° < e< 90°, what is sin (0)? 17 14 15 14 15 17

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Q: If x= cos t and y = cos 21, then (sin t 0) is (A) 4 cos t 4y (C) (E) -4 cot t (B) 4. (D) -4 Select…

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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.…

Q: Find the values of 0 in degrees (0° < 0 < 90°) and radians (0 < 0 < t/2) without the aid of a…

A: cosθ=22 θ=arccos22 θ=45     degrees θ=π4     radians

Q: If cos 0 = -- and T < 0 < 3, what is the value of cos () ? 3 V14 V 14

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Q: Find the exact value of sin (a – B) under the given conditions. 15 T 20 sin a = 17' 2 0<B<2 29 < a <…

A: π radian = 180° π2 radian = 90°

Q: 15 Given sin a = and cos ß = 13 where 270° < a < 360° and 270° < ß < 360°. 17 %3| Find cot(a + ß)…

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Q: Calculate sin(A), cos(A) and tan(A) for the triangle shown below. Give exact (non-decimal) answ -4 2…

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Q: Find e, 0° < e < 360°, given the following information. V3 and e in QIII 2 sin e = e = Find e, 0° <…

A: We are asked to find the θ

Q: If sin(e) = 0.788, then what is the approximate value of csc(e %3D O 4.717 0.212 O 0.788 1269

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Q: intoyral (1+35)e² Sin} dz , Evaluate the two awhere Ĉi131= h, by any methods and compare the esulk.

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Q: Find sin A, cos A, tan A, and sin B, cos B, and tan B in right triangle ABC, with C 5 90°given the…

A: Given: The right angle triangle, ABC with ∠C=90° and the sides b = 6 , c=7. To determine:  The…

Q: Find the value of cos e if sin e= 0° S85 90° 7. 25 49 33 3

A: Given condition - 0° ≤ θ ≤ 90°Hence, θ is in 1st quadrant.We know that,sin2θ + cos2θ = 1…

Q: An angle of measure 1 exact vəlue of cos(120

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Q: e qn a tion giver below is exe ct So lu fion if exact? ab D dC = 0

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Q: Evaluate the expression under the given conditions. 2/5 sin(e + 4); sin e = e in Quadrant I, cos p…

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Q: (a). Simplify the following by using Demoiver's theorem. (1- cos 0 +i sin 0)* (b). Examine the…

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Q: Given the following: sin a and 플<a <r and cos B%3D and T <p<플 %D π

A: Given:sin(α)=13 and π2&lt;α&lt;πand cosβ=-13 and π&lt;β&lt;3π2To find:we have to find…

Q: If sin e + cos e =p and sec e + cosec e = q, show that q (p? -1)= 2 p.

A: Solution-

Q: 9. Use the trigonometric ratio cos e= 0.6798 to determine which of the following is the correct…

A: To find the correct value of theta :

Q: Find the value of cos e, if sin 0- 4 0° S05 90°. 7. 25 49 33

A: Given : sinθ = 47

Q: An RL circuit has an emf given (in volts) by 3 sin 2t, a resistance of 10 ohms, an inductance of 0.5…

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Q: A 3. If sin(0) = 0.788, then what is the approximate value of csc(e)? %3D O 0.212 O 0.788 O 1.269 O…

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Q: Find sin A, cos A, tan A, and sin B, cos B, and tan B in right triangle ABC, with C=90° given the…

A: Given that ABC is a right triangle such that ∠C=90° and b=5 and c=6 . We  have to find sinA,…

Q: Which of the is the measure of O if sine O = √22? a. 60o         c. 45o b. 75o       d. 30o

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Q: What is the approximate value of 0, if cos 0 = 15? O A. 58° ОВ. О В. 32° Oc 28° O D. 62° O E. 48°

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Q: 9. Find the exact magnitude of c = (3,12). Show your work and write your answer on the line…

A: According to the guidelines, we are answering first question. Please repost the remaining.…

Q: 4. Evaluate the following and give the exact value: r2 cos e crsin e r? cos 0 dz dr de 2 sin e

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Q: E The alternating current in an electric inductor is | =5, where E is voltage and Z = R+X_i is…

A: Given that : R=6 and XL=2 ⇒Z=R + XLi=6+2i Now,  E=5(cos 500+ i sin 500)= 5ei 500=5e0.872i