2. Prove that cos30 = (4cos'e - 3cos0) and sin30 = (3sine – 4sin e) using De Moivre's Theorem. %3D %3D

Q: Show that sin-1 v + cos-1 v = π/2 .

A: Given: sin-1 v+cos-1 v=π2

Q: Cos20=2Cos 0-1

A: Part 1,Given,            cos2θ=2cos2θ-1

Q: 3. Complete the table. Use the values to sketch the graph of each function over a one period…

A:

Q: Find   cos(u2)cos(u2)   if   secu=9.545

A:

Q: Evaluate π [ -πT cos² (5x) dx.

A:

Q: Find L(sin3t cos3t)

A: We have to find L{sin3tcos3t}

Q: Solve the equation Sin (20) = -'/2 /2 on the internal [o, 2) Cos 4x = cot (3x)=1 Cos 20/s =-1 %3D

A:

Q: Show that the equation 2x + cos(x) = 1 has exactly one root. (IVT and Rolle's Theorem)

A:

Q: d. Show that sin 8x + sin 4x cos8x-cos4x = -cot(2x)

A:

Q: Prove that cos 20/sin20=2cos20 |

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Q: .15 S sin²4y cos>4ydy

A:

Q: lim ze = -9 cos 3 + i9 sin 3. %3D Select one: O True O False

A: The statement is TRUE  The detailed solution is as follows below:

Q: show steps to simplify cos(2iln(i))

A: We have,    cos ( 2 i ln(i) )

Q: Find cos(u+v) sinu= -4/5 with 3pi/2 <u<2pi and cosv= -5/13 with pi/2 <v<pi

A: u is in the fourth quadrant. There cos will be positive.

Q: Find   cos(u/2)   if   sec u=7.519

A:

Q: 2) Explain why sin(8) = cos(90-e). %3D

A:

Q: Find S(sin20cose + cos30)d0

A: