tan e de (1+ In cos ele

Q: i. An V21+3n an = 2¬" coS NT

A: We have to check whether given sequence is convergent or divergent. If convergent then find it's…

Q: Find 10. cos°0 do

A: Given:  Let I=∫0π cos6 θ dθ To Find: To evaluate the given integral.

Q: 2. Identify each of the following polar equations and state the correct graph: a. r 2-2 cos 0 i. ii.…

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Q: | sin 5x sin xdx

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Q: Rewrite cos x + 3 in terms of sin(x) and cos(x). COS

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Q: dy Find dif sin x + 2 cos 2y) = 1 dx

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Q: Let E R. Show that cos 20 cos²0-sin² 0.

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Q: I co cos (In x) dr

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Q: Show that sin² 0 cos² 0 8 1 cos (40). 8

A: To show that: sin2θcos2θ=18-18cos(4θ) Solution: We know: 2sinxcosx=sin(2x)    ..(1)cos(2x)=1-2sin2x…

Q: Plot each complex number: 1. -3i 3 2. 1. -2 -1 5. -11 -2

A: In complex plane  z = x + iy    = (x,y)

Q: Evaluate 3 cos z sin" e dz.

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Q: sin x 6. Evaluate dx. 3 cos x

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Q: Evaluate COs 2 4 – x² dx

A: use the property of even function and odd function to evaluate the integral.

Q: Why is I cos 0 |never greater than 1 in the first place?

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Q: 11. f sin²0 cos²0 de

A: Introduction: Trigonometric function integration requires fundamental simplification techniques.…

Q: -1 1

A: Given that cos(arcsin(-1))   we know that arcsin(-1) equal to π/2 or 3π/2

Q: Express simplify. sec a + cos² a tan² a) tan a in terms of cosine and sine only, and

A: The given expression is:To Do:We have to express in terms of cosine and sine only and simplify.

Q: if cos theta = x/2, then 1+that2 theta is equals to?

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Q: Find out Cos(A-B)=?

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Q: dr + r tan 0 = cos? 0, do = 1. 4.

A: Given DE is drdθ+r tanθ=cos2θ   and rπ4=1 solve the given DE