Show that the work of F = (2³-y³)i + (2³-y³)j on c, the unit circle centered at the origin with anti-clockwise direction, is given by 1-(1-1)-in 2018, 2² cos 40 2 2

Q: Verify the identity. 4 sec? y - 4 cot( - y) =- 4 sec? y - 4 cot (- y) - 4 (sec² y - = 4

A:

Q: (sinhz)(coth’z+csch*r)dz

A: Integration is done.

Q: Prove that v2 cos(20+45°) = cos e-2sin Ocos 0-sin 0, where 0 is measured in degrees.

A: *formula:- cos(A+B) = cosA*cosB - sinA*sinB. sin2A = 2sinA*cosA. cos2A = cos^2(A) - sin^2(A).

Q: cos C25+) Se sincas+) dt

A:

Q: Prove that cosine has the Direct Substitution Property.

A: We will follows the strategy of the previous exercise. its given to us that…

Q: verify the identity seco+1 2 COS 2 - 2 sec 0

A: Verify the identity: cos2θ2=secθ+12secθ

Q: find the exact value cos151ocos1o + sin151osin1o

A: We have to use cosAcosB+sinAsinB= cos(A-B)With A=151 and B=1

Q: e). Prove that Sin3A+sinA 25in2A -COSA

A: