Verify the identity. sin (e + n) = -sin e A) sin (e+x) = cos Osin e- cosa sin a = cos Osin e--0 = -sin e C) in (8+x) = cos Ocos a - sin Osin a = cos 8.-1- sin e -0 =-sin e B) sin(e +x) = sin Ocos e + cosa sin a = sin Ocos e + sin a = -sin e D) sin(@ +x) = in OcosA + cos Osina = in -1+cos e -0 = -sin e %3D %3D %3D

Q: sin? x 1- 1-cos x =-COS X

A: Here we have to use the basic trigonometric identity sin2θ+cos2θ =1 and we know that  a2-b2=…

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Q: 6. Verify this identity: sec² (0)-1 sec² (0) = sin² (0) You must show all work! 7. Verify this…

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A: ∫etan2x sec2xcos2x dx=∫etan2x sec2x sec2x dx     ∵secx=1cosx=∫etan2x sec22x dx Now put,…

Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

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A: As we know that: The Quotient rule: fg'=f'·g+g'·fg2 The Power rule: ddxxn=nxn-1 Given:…

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A: sinx+cosxsecx+cscx=sinxcosx