Consider the following. cos(x + y) cos(x - y) = cos(x) - sin²(y) Prove the identity. - sin(x) sin(y)] cos(x - y) = [cos(x) cos(y) - sin(x) sin(y)] [cos(x) cos(y) + cos(x + y) cos(x - y) = = cos²(x) [1 - = = cos²(x). = cos² (x) - cos²(x) - sin²(y) cos²(x) - sin²(y) -sin²(x) [ + cos(x) cos(y) sin(x) sin(y) - cos(x) cos(y) sin(x) sin(y) - sin²(x) sin²(y) - sin²(x) sin²(y) . sin²(y) - sin²(x) sin²(y) | + sincey 11

Q: 2x + x2 cos(x) + 1 -dx x2

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Q: Show that tan(y) sin(y) += cot(y) + sec(y) csc(y) 1+ cos((y) 1- cos(y)

A: NOTE: Refresh your page if you can't see any equations. . use cross multiplication

Q: 4 sin x f(x) 2 + cos x

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Q: de (sin(0) cos(0)) =

A:

Q: Find where z = sin (x²) cos (y) COS © 6.x sin (x²) cos (y²) COS 2.x sin (2²) 2x cos 2.x sin (x²) cos…

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Q: a dx = 1+ sin(ax) Select one: a. tan(ax) – sec(az) + C b. ax + In | csc(az) – cot(az)| + C c. In |1+…

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Q: prove the following identities: cos² (y) - sin² (y) 1 - tan² (y) = cos² (y).

A: according to bartleby guide line we do only first part of multiple questions prove…

Q: (cos(x)cot(x)/1-sin(x))-1=csc(x)

A: We have given (cos(x)cot(x)/1-sin(x))-1=csc(x)

Q: cos(x1)=-1/3 sin(x2)=2/3 find 1. sin(x1+x2) 2. cos(x1+x2) 3.sin(x1-x2) 4.cos(x1-x2)

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Q: sin (0) cos(0) d0, cos (0) dө, u = sin(0)

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Q: 3 sin(0) = 8. find cot(0)

A: We will use trigonometric identity Sin2(x)+cos2(x)=1.

Q: csc(x)=3     0<x<pie/2  cos(x/2)=? sin(x/2)=? tan(x/2)=?

A: Given that: cscx=3,   0&lt;x&lt;π2

Q: (b) Verify that f(x) = 2 cos(x) sin(1x). f(x) = sin(6x) + sin(7x) = 2 sin = 2 sin 6x + N 2 X COS 6x…

A: Given