Question

the general solution of 1-cot²x/1+cot²x =1/2​

Answer 1

Answer:

1-cot^2@/1+cot^2@=1/2

1-cos^2@/sin^2@/1+cos^2@/sin^2@=1/2

Generalising the above equation

sin^2@-cos^2@/sin^2@+cos^2@=1/2

1-cos^2@-cos^2@/1 = 1/2

1-2cos^2@ =1/2

1-1/2 = 2cos^2@

1/2 = 2cos^2@

1/4 =cos^2@

1/2 = cos@

cos@ = 1/2

@ = 60°