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Q: 3.) S(1 – sin?xcos²x)²dx

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Q: 5.) est cos 9t sin 6t

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Q: 8. sin 2a = Zsn AcosA 24 25 12 25 9. cos 2a =

A: 8sin(2α)=2sin(α)cos(α)Let…

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Q: 3 12 6. Gtven sina = -; and cosß = where n<a <: and <B< 2n. 5 13 Draw the triangles, length of the…

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Q: If x = 4 sin 0, then J csc2ede = %3D

A: Here, ⇒x=4sinθ⇒sinθ=x4 By using Pythagoras theorem, We will have remaining side of the triangle…

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Q: <O< 2T, sec(0)=9/4, find sin(0)=_ Suppose that places) (round to 3 decimal 2

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Q: Find a particular solution to /" + 16y = 8 sin(4t).

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Q: T/4 cos(8) 5r* sin(0) dr de

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Q: If sin a: 1 then sec a =?

A: We can solve this by using trigonometric identities . We can use the identity sin2α+cos2α=1 . By…

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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: 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: Give the EXACT values for the quantities. (a) sin 19π/4 = (b) cos −14π/3 = (c) cos −5π/6

A: Note: - Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 8x O B. [5 sin 5x + 8 cos 5x] + C 89

A: The given integral is, '

Q: Express the number 7/3 – 7i in the form R(cos(0) + i sin(0)) = Re", where R>0 and -n < 0 < T. NOTE:…

A: Given complex number is 73-7i Let 73-7i=Rcosθ+isinθ                       . . . (1) where R&gt;0 and…

Q: 2TT TT 2 5 cos o j ê sin@dr ded@=5TTC

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Q: 5 2. In right triangle ABC, mzB = 90°. If tan C = 12 find sin A

A: Trigonometry Right angled triangle problem

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

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

Q: eс 0 %3D 12, sin Ө>0 a) sin (20) (b) cos (20) (c) sin (d) cos 2 (e) tan (20) (f) tan 2 - - 2

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Q: 3. Given that cos 30 J3 and sin 4S = 2, without the use of a %3D %3D 2. 2. calculator, evaluate…

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Q: 5 1. If sec a with a in quadrant Il and cos B = with B in quadrant IV evaluate: 3 a) sin(a- B) b)…

A: If sec α=-52 with α in quadrant II and cos β=13 with β in quadrant IV, then to evaluate the…

Q: Find zw and Leave your ans z=3(cos 140° + i sin 140°) w=5(cos 280° + i sin 280°)

A: Given that,

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

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A: Given :

Q: 3. Express M =cos 3A+cos A and N = sin 3A+sin A as a product form. M = cot 2A. N Hence, show that

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Q: Evaluating √9-x² dx using trigonometric substitution will lead to: [/2cos²0do (A) 18 9[*/ cos²0d0 B…

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Q: 2 sin ( 12s) If r(s) = find r'(s) ||

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Q: Find the exact length of the helix7(t) = 1t 5 cos 1t 5 sin 12t ) for – 6 <t< 5.

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Q: Find all values of z: z = 4(cos 90° + i sin 90°) for n=2

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Q: Compute the exact value of 13 T sin 12

A: Given query is to find the exact value of given sin function.

Q: 4 5. "sin? 4y cos? 2y dy

A: Substitute y=u2,dy=du2. ∫0π4sin24ycos22ydy=∫0π212sin22ucos2udu…

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Q: 4. If cos 0 = and tan 0 >0, then sin 0 = 13 O A 12 13 о в 5 12 С. 12 13 O D. 5 12

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Q: 29 yn C ini n0 Ca 22. Evaluate cos-1(sin ). 16 h cowor

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Q: TT 13. (а) сos 3 (c) sin (b) sec 3

A: Question 13,Part a,Given,           cos-π3

Q: 10. 3 sin 30 cos Od0

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Q: 1. Find the exact value (not a decimal approximation) for sin(22.5°) (Hint: 22.5 = 45/2)

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Q: /2 89 cos t 9. dt = 1+ sin?t If q sec e de, then a = b = and g =

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Q: -4 sin(0) – 4 = -2/3 – 4

A: We use Trigonometry table to solve this Question

Q: 7. The value of sin(1¹/3) dt 12/3 S

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Q: 18. tan 0° + cot 45°? A) 0 B) VZ C) 1 D) 2 19. V3 sin 60°? A) B)를 c) D) V3 20. sec 60° cos3 90° +…

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Q: t. Tt 6 cos + 5 = -24 sin + 22)+5 for 0<t< 2T 75

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

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Q: 3 and t <Os, then sece is equal to: 5 37t - 1. If sin 0 - 5 a) 4 4 b) 5 4 c) -

A: Given:  sin θ = -3/5     π ≤ θ ≤ 3π/2

Q: 2. sin 8 = 42 P(0) is in the second quadrant

A: Given θ lies in the second quadrant We know that sinθ , cosecθ are positive in the second quadrant…