-1 Differentiate y = sin (sec(4x?)). %3D 82 tan(4a?) sec(422) A. y' 1-sec2 4r2 8æ tan(42²) sec(4x²) B. y' V1-sec? 16a4 8x tan? (4x²) sec² (4a²) C. y' V1-sec2 4x2 8x tan?(4a²) sec² (4x²) D. y' V1-sec2 16

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A: Topic:-  simplification

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A: Given

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A: To evaluate: ∫3x+2x3-x2-2xdx=∫3x+2x(x2-x-2)dx=∫3x+2x(x-2)(x+1)dx

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A: Explanation of the answer is as follows

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A: We have the solution as follows:

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A: Given;  Limx-0+Sinxtanx.

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A:

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Q: please use the method of Miscellaneous Substitution

A: Here  We will use miscellaneous Substitution instead of partial fraction.

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A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: 6. Verify each of the following identities: cosx (a) 1-sinx = secx + tanx (b) 2sec²x + 1+sin 1-sinx…

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A: Topic:- trigonometry ratios

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A: Topic:- limit

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A: We can solve this as follows:

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A: Cos(π/4)= 1/√2= 0.707106781

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