1.

Given sinx + cosx = 5/4. If 1 + 2sinx.cosx = a then find the value of 32a.

Answer»

Given, 

sinx + cosx = 5/4

Squaring both side

(sinx + cosx)2 = (5/4)2 

sin2x + cos2x + 2sinx.cosx = 25/16

1 + 2sinx.cosx = 25/16

Therefore, 

a = 25/16

32a = 32 x 25/16 = 50



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