Tan- pi- divide-4- alpha-Tan-3 pi- divide-4- alpha- - -1

Dear Student, LHS tan( pi;/4 + theta;) x tan[ pi; ( pi;/4 theta;) as tan(A+B) = (tanA+tanB)/(1 tanAtanB) tan(A B) = (tanA tanB)/(1+tanAtanB) tan ...

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Differentiation Using Substitution

Tan( pi; ...

Question

Tan(π÷4+α)+Tan(3π÷4+α) = -1

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Solution

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t a n (\frac{π}{4} + θ) + t a n (\frac{π}{4} - θ) = a

t a n^{3} (\frac{π}{4} + θ) + t a n^{3} (\frac{π}{4} - θ)

\frac{sin (θ + α)}{cos (θ - α)} = \frac{1 - m}{1 + m}

tan (\frac{π}{4} - θ) tan (\frac{π}{4} - α)

tan (\frac{π}{4} + θ) \times tan (\frac{3 π}{4} + θ)

tan (\frac{π}{4} + θ) \times tan (\frac{3 π}{4} + θ) = m

- m

I f t a n (\frac{π}{4} + \frac{y}{2}) = t a n^{3} (\frac{π}{4} + \frac{x}{2}), t h e n s i n x (\frac{3 + s i n^{2} x}{1 + 3 s i n^{2} x}) e q u a l s

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