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Ans 1:
Class : Class 10
Answer is (A)
a=sin(A) + cos(A)........................................given as equation (1)
a^2=sin^2(A) + cos^2 (A) + 2 sin(A)cos(A)
a^2=1 + 2 sin(A)cos(A)
therefore,
sin(A)cos(A) = (a^2 - 1)/2..............................equation (2)
b = {sin(A) + cos(A)} / sin(A)cos(A)
b = a/a^2-1 x 2/1.............................................from equation (1) and (2)
therefore
b = 2a/a^2-1