Math, asked by sneha1683, 5 months ago

If 5 cos A = 12sin A, prove that tan2A - sin2A = sin4A • sec2A​

Answers

Answered by ItzVash003
2

Answer:

Step-by-step explanation:

5cosA − 12sinA = 0

5cosA = 12sinA

tanA  =  \bf{\frac{5}{12} }

Now, {\frac{sin A \\+ \\cos A}{2 cosA - sin A } }

Dvide by cos A

= \bf\green{\frac{tan A + 1 }{ 2- tan A} }

= \frac{\frac{5}{12}+ 1 }{2 - \frac{5}{12} }

= \bf\green{\frac{5 + 12 }{24 - 5} }

= \bf{\frac{17}{9} }

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