Given sin a = -, a is in QIIl and cos B = , Bis in QIV. Where is angle (a + B) located? O on the positive x-axis O on the negative x-axis O on the positive y-axis on the negative y-axis

Q: You will be using sin¹¹, cos^¹, tan^¹. Find the following angles: i. sin 0 = 0.7071, 0= ii. cos A =…

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Q: Verify the identity. 4 sec? y - 4 cot( - y) =- 4 sec? y - 4 cot (- y) - 4 (sec² y - = 4

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Q: sin? Cos dx 2

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Q: L Find the six trigonometric function of the following 2)(4) 1) (4, 4) Ans. Ans.

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Q: 2. dx x5 sin°() tan7| Let u = " 5x

A: Here we use transformation 2 times.

Q: 12. Evaluate Cos 0 -sin & - Bin sin 0 Co3 0

A: Given: cosθ−sinθsinθcosθ4

Q: If z = 4 - 3i in cartesian coordinates then z = 5ei® where 0(in radians) is: a. tan-'(4/3) + pi b.…

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Q: If cos e = Find the value of cote + co sece.

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Q: When a and b are real, we define elatiblx with the equation ela+ ibix = eax , eibx e"(cos bx + i sin…

A: we know that am+n=am.an similarly, ea+ibx=eax+ibx=eax.eibx now, we know that eiθ=cosθ+isinθ

Q: Find the measure of cos-1 (-0.5) in degrees and radians.

A: cos-1-0.5

Q: Give the exact value of COS (-) + sin ( 3 V3 O1 2 2 O V2 O 1+v3

A: We need to find the exact value of the given trigonometric ratios.

Q: ( cos rdx = CO Select one: a. x sin2x +c 2 b. * sin2r 41 sin2r 41 C. sin21 C d. a +. 21

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Q: Simplify [2(cos 10 degree + i sin 10 degree )]5 . Give your answer in trigonometric form.

A: We have to simplify: 2cos 10°+i sin 10°5 We know from de Moivre's theorem, cos x+i sin xn=cos nx+i…

Q: Find the sin & Cos of G (-180,-90,-445,45, 135) degree O(-135, 0, 90, 180) radian-

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Q: Can you cancel out sin theta if they are present in both sides of the equation?

A: Answer: The answer is as shown below :