Math, asked by harishreddy2k, 9 months ago

PROVE THE ABOVE EQUATION

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Answered by jokerthedevil123

as the 3/5is the value of sin a
we shall draw a right angle triangle abc mark any point theta
substitute and the value as given will be obtained

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Answered by abdul9838

$<b> <body \: bgcolor = "skyblue">$

$\bf \pink{hey \: user \: here \: is \: answer} \\ \\ \bf \blue{ \boxed{ \boxed{ \huge \bf \: solution }}} \\ \\ \bf \underline{ \underline\purple{according \: to \: the \: question}} \\ \\ \bf\red{ sin \theta = \frac{3}{5} } \\ \\ \bf \blue{ \underline{by \: using \: pythagoras \: theorem}} \\ \bf \blue{we \: get} \\ \\ \bf \purple{base = 4} \\ \\ \bf \red{\therefore{tan \theta = \frac{3}{4} }} \\ \bf \blue{and} \\ \bf \purple{cos \theta = \frac{4}{5} } \\ \\ \bf \purple{ \therefore \: sec \theta = \frac{5}{4} } \\ \\ \bf \blue{ \huge \: now} \\ \\ \bf \pink{ \underline{we \: have \: to \: prove}} \\ \\ \bf \green{(tan \theta + sec \theta)^{2} } \\ \\ \bf \pink{ ({ \frac{3}{4} + \frac{5}{4}) }^{2} } \\ \\ \bf \pink{ (\frac{ \cancel{8}}{ \cancel{4}} )}^{2} \\ \\ \bf \pink{ {2}^{2} } \\ \\ \bf \pink{4} \\ \\ \bf \boxed{ \boxed{ \pink{ \bf \huge \: hence \: ans \: is \: 4}}}$

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