Answer :

Given, sec70°sin20° + cos20°cosec70° = 2


Need to prove the given equation as two


we know that sec(90 - θ) = cosecθ and cosec(90 - θ) = secθ


sec70° = sec(90 - 20)°


= cosec20° - - - eq (1)


And cosec70° = cosec(90 - 20)


= sec20° - - - - - eq(2)


Substitute eq(1) and eq(2) in the given equation


cosec20°sin20° + cos20°sec20° = 2



[ and ]


= 2


2 = 2


Hence, proved


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