Find all solutions of the following equations. (a) 5 cos(2x + 3) = sin(2x + 3) (b) 20+ 90 sin (3(t – 2)) = 100 (c) cos(3r - 7) = 5 (d) 8 cos(5x) = 3

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A:

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A:

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A:

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A:

Q: 4 L-1 s3 + 4s (A) [1 – cos 2t] (B) [1 – cos 2t] (C) [1 – sin 2t] (D) 1– cos 2t (E) [1+ cos 2t]

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Q: Q: Solve y+8= Cos (x) ナ3sin(2x)

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Q: Solve x 2x 2x 2π cos - ( 2² -1) + sin ~¹ ( 24₁ ) + tan - ( ²²₁ ) = ² COS 2 +1 x +1 3 -

A:

Q: Find all values of a for which the equation : 10х — 2л2 — а - cos (2x + a) = x² – 8x – C cos 3 has a…

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A:

Q: Solve the equation 2 cos²x+cos 2x = x = [0, 2π). 0 where

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A:

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Q: 8 cos5(α)/(sin(α))1/2 dα

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Q: 27. Evaluate: cos 2) - sin 6 4 /3 /2 2 2 1 V2 V3 2 2 1 V2 2 None of the above. + |

A: Hence option (c) is correct.

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Q: #1) Solve: 2 cos²x − cos x = 1 on [0,2π) —

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A:

Q: 1. Find (2r – e") dr

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.