18. If sin >0 and cos <0, then must be in quadrant (a) I (b) II (c) III (d) IV (e) none of these

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Q: 7. Evaluate sin(cos-¹(3))

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A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

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Q: quotient of 24 COS 6. +i sin + 8(cos () +isin () and leave the 4. Find the COS answer in…

A: The complex number, z=x+iy can be written as z=rcos θ+isinθ=reiθ , where, r=x2+y2 , θ=tan-1yx .

Q: Let A = ° -2 [23] eAt = e2t T eAt = e³t eAt = e³t e³¹ = cos(3t) [- sin(3t) cos(2t) sin(2t) [ e37 .…

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Q: sin dr 4 Show that ||

A: first use the formula of cube of sinx.

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Q: 2c. Show that * (5 - ) 4 sin z - cos 2r + 3 -8 cos for every r.

A: To prove: 4sinx-cos2x+3 = 8cos4π4-x2 We know that cosx-y  = cosxcosy+sinxsiny and cos2x= 1-2sin2x

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Q: 14) sin- 1 2 /-

A: 14. let x=sin-1(12)     x=π6                    (∵ sin(π6) = 12)

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A: Given  cosθ+π2, sinθ+π2

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Q: Sin-1 e こ? 1ーx2

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Q: csc² x+sec² x 1 cos² sin² 10

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Q: a) Describe a strategy that could be used to verify the identity (sin z+ cos z)² =1+ sin (2z). %3D…

A: a) strategy used to verify the identitysinx+cosx2=1+sin2xb) Algebriacally prove the identity…