Integrate * 2+7 sin'z dz coz²z 2 cos z + 7 sin z + 7 cos z + C O 2 tan z + 7 sec z + 7 cos z + C None of the choices O 2 sin z + 7 sin z +7 sin z + C
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- Determine the integral of sec^4 (x) tan^2 (x) dx * a) 1/7 tan^7 (x) - 1/5 tan^5 (x) + C b) 1/3 tan^3 (x) + 1/5 tan^5 (x) + C c) 1/7 sec^7 (x) - 1/5 sec^5 (x) + C d) 1/3 sec^3 (x) + 1/5 sec^5 (x) + CVerify the identity: sin(x - y)/(cos x cos y) + sin(y - z)/(cos y cos z) + sin(z - x)/ (cos z cos x = 0).Prove the identity (cosh x + sinh x) n = cosh n x + sinh nx
- b) double integral : (ii) Prove that ;Express f(theta) where f(theta)=cos theta - square root of 3 sin theta in the form Rcos (theta +lambda) where R> 0 and lambda is an acute angle Hence find the max and minimum value of 5/f(theta)+7 showing all stepsExpress f(theta) where f(theta)=cos theta - square root of 3 sin theta in the form Rcos (theta +lambda) where R> 0 and lambda is an acute angle Hence find the max and minimum value of 5/f(theta)+7