If n e N, then (1 + i V3)" + (1-iV3)" is equal to: إختر أحد الخيارات NTI .a 2" cos 3 None of these b NT .c 2n+1 cos 3 NM .d 2" sin 2 2n+1 sin NT e 3

Q: V6(cos 30° – i sin 30°) 3(cos 90° +i sin90°) a) z

A: Given: z=6cos30∘-isin30∘3cos90∘+isin90∘ we know that cosθ+isinθ=eiθ

Q: تفاضل وتكامل )2( نظري Stan?x dx = Select one: a. sin x-x+ C on b. COS X-X+C C. sec x +x+c d. tan x -…

A:

Q: Find a formula for 3cos(theta) that only involves sin(theta) or cos (theta)

A:

Q: #25

A:

Q: (sin e + cos 0) (sin 0 + cos 0) 1 . Multiply and simplify: sin 0 cos 0

A:

Q: A. cos 2A = cos² A-sin² A B. cos 2A = (cos A - sin A) (cos A + sin A C. cos 2A = 2 cos² A-1 D. cos…

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Q: Which of the following is equal to cos 63?

A: We know that the identitycos2x=cos2x-sin2x         =1-2sin2x         =2cos2x-1…

Q: Sin 0/1 + co² B) 2.

A: sinθ1+cot2θ                             =sinθ1+cos2θsin2θ…

Q: 2 1-cos 2z Is equivalent to: O cos? x O sin? O sec? x csc2 x

A: Solve  2/1-cos2x

Q: sin(sin? 3.

A: Answer

Q: Evaluate S cos ve Vē sin? ve

A: consider I=∫cosθθ sin2θdθto solve the itegral we can use method ofsubstitution

Q: Write the general solutions for: 2 sin x+ cos x-1 = 0.

A: Given below the detailed solution

Q: (cos x +i sin a)" = cos nx +i sin na -1)

A:

Q: c) Verify the identity sin 0 1+ cos e 2 csc 0 1+ cos e sin 0

A: We take the RHS and simplify it and verify if it is equal to the LHS.

Q: 1+ cose 59. сos? 2 1+ cos 4 1+ 2 cos? 8 1 + 2 4 1 cos - > 0, so cos 8 8 4 2. II

A: Given that, cos2π8. To simplify this, apply the trigonometric property: cos2θ2=1+cos2θ22=1+cosθ2 in…

Q: a) Is cos(2-30°) equal to cos² 30° - sin² 30° ? Yes or No. || b) Find the value of cos(230°).

A: a) cos ( 2.30°) = cos230 - sin230

Q: 1 + cos 20 57. Show that cos?e = 2

A: Show that the given identity, cos2θ=1+cos2θ2. Addition property:  cosA+B=cosAcosB-sinAsinB

Q: Verify the identity: sin? 0 + 2 cos 0 – 1 1 sin? 0 + 3 cos 0 – 3 2 1- sec e

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Q: Sin e + cos 0 sin g-cos 0 sing +cose sing- cos e 1-cos?0 1.

A:

Q: If we simplify the value of sin(2 sin V) we get: اخترأحد الخيارات 2Vr – x2 .a O .b O 2Vx2 – x4 .c…

A: Solving the inverse trigonometric function we have

Q: If sin z + cos I 2, then the value of sin" r+ cos" z will be-

A:

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: e csc 20 In (ecos 2 ) Ince cos CoS 20 28) Sin2 20 OP

A: Given integral is ∫ecsc2θlnecos2θsin22θdθ since lnex=x, so lnecos2θ=cos2θ The integral becomes…

Q: j sin 125 cos 11 1. Simplify 47T . Express answer in rectangular form. 47 +j sin cos

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Q: cos20 iii) modulus of complex z = 3 +- (cos0)² + i equal to a. V3 b.3 c. V2 d. 2 с.

A: Given

Q: ) de 1 cos330 cos830. sin³30

A:

Q: 22. Ans. see a B The expression tan (A) 4 (B) 6 (C) S (D) 10 (C, D) sec* B tan² a (wherever defined)…

A: It is given that: sec2 π9+sec2 2π9+sec2 4π9=S ∑k=189cos6k0=ab where a and bhave no common factor…

Q: COS 10T - i sin 10TT 3 3 GT+ 3 of 學 4T COS 27 + 40 3 C1) - 1 2

A: Use trigonometric ratios

Q: উদাহরণ-9. যদি tan c হয় তবে প্রমাণ কর যে %3D - a

A: You need to find the values of sine and cosine of from the given value in the question.

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.