cos theta =12/13
cos^2 theta= (12/13)^2
sin^2 theta = 1-(12/13)^2
= (169-144)/169
= 25/169
sin theta = 5/13
(sin ^2 theta - cos ^2 theta) / (2* sin theta *cos theta)
= 25-144 / 120
=-119/120
Question : If $\sin \theta-\cos \theta=0$, then find the value of $\left(\sin^3 \theta-\cos^3 \theta\right)$.
Option 1: $0$
Option 2: $2$
Option 3: $1$
Option 4: $\frac{1}{\sqrt{2}}$
Question : If $\cos x+\sin x=\sqrt{2} \cos x$, what is the value of $(\cos x-\sin x)^2+(\cos x+\sin x)^2$?
Option 1: $2$
Option 2: $1$
Option 3: $0$
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