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Why Tan²¤ + 1 = Sec²¤​

Answer»

Here Is Your Ans

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BY PYTHAGORAS Theorem

h² = p² + b² ---- 1

Divide b² In equation 1

=  >  \frac{ {h}^{2} }{b}  =  \frac{ {p}^{2} }{ {b}^{2} }  +  \frac{ {b}^{2} }{ {b}^{2} } \\  \\  =  >  {( \frac{h}{b} )}^{2}  =  {( \frac{p}{b} )}^{2}  +  {( \frac{b}{b} )}^{2}  \\  \\

=> Sec²¤ = Tan²¤ + 1

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