Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant. sec2(t) sin?(t), cos(t); any quadrant sec?(t) sin?(t) = %3D

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Q: Write the first expression in terms of the second if the terminal point determined by t is in the…

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A: 1st question is solved. Solving more questions are against the policy of bartalby.

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A: We can rewrite the function as:

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A: There are multiple question , as per company policy kindly ask other question separately.

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A: we know that  d/dx(In(x))=1/x d/dx(u/v)=(v du/dx-u dv/dx)/v^2 d/dx(tanx)=sec^2(x) d/dx(xn)=nxn-1

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A: handwriting solution

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A: detailed solution is given below

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A: To find ∫sin4x1+cos22xdx  Let u=2x,   du=2dx⇒dx=du2, Then =∫sin 2u1+cos2udu2=12∫2sinu cosu1+cos2udu…

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