Question

prove that:

sin2

(90 – x) + cos2

(90-x) = 1​

Answer 1

Answer:

cos(90−A)=sin(A);

sin(90−A)=cos(A);

tan(90−A)=cot(A)

cot(A)=

sin(A)

cos(A)

LHS

tan(90−A)

cos(90−A)sin(90−A)

=

cot(A)

sin(A)cos(A)

cot(A)

sin(A)cos(A)

=

cos(A)

sin(A)cos(A)sin(A)

cos(A)

sin(A)cos(A)sin(A)

=sin(A)sin(A)=sin

2

(A)=LHS

RHS=sin

2

(A)

LHS=RHS

Hence Proved