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Derivative of Some Standard Functions

ntif cot thet...

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ntif cot theta+cos theta=p, cot theta-cos theta=q then the value of p square- q square isn nt(1)2pqn nt(2)4pqn nt(3)2pqn nt(4)4pqn

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cot θ + cos θ = p

cot θ - cos θ = q

, then the value of

p^{2} - q^{2}

sin θ + cos θ = p

tan θ + cot θ = q

q (p^{2} - 1)

=

sin

θ +

cos

θ = p

tan

θ +

cot

θ = q

q (p^{2} - 1) =

p cot θ = q

examine whether

\frac{p sin θ - q cos θ}{p sin θ + q cos θ} = \frac{p^{2} - q^{2}}{p^{2} + q^{2}}

cos θ = \frac{q}{\sqrt{p^{2} + q^{2}}}

\frac{csc θ + cot θ}{csc θ - cot θ}

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Derivative of Some Standard Functions

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