Find all solutions of the equation in the interval \( [0,2 \pi) \), \[ \sec ^{2} x-\sec x-2=0 \] Write your answer in radians in terms of \( \pi \), If there is more than one solution, separate them with comi

4. Solve \( \sin 2 x=\cos x-\cos 2 x \) algebraically. Give your answer as a general solution, in degrees.

2. a) Verify that \( \frac{\cos x}{1-\sin x}=\frac{1+\sin x}{\cos x} \) is true for \( x=\frac{\pi}{4} \). b) What are the non-permissible values for the equation?

-pi/3 on the unit circle

\( 4tanx-ctgx=0 \)

(iii) यदि \( \tan (\mathrm{A}+\mathrm{B})=\mathrm{p} \) तथा \( \tan (\mathrm{A}-\mathrm{B})=\mathrm{q} \) : तो \( \tan 2 \mathrm{~A} \) का मान ज्ञात कीजिए। \[ \text { If } \tan (\mathrm{A}+\mathrm{B})=\mathrm{p} \text { and } \tan (\mathrm{A}-\mathrm{B})=\mathrm{q} \text {; then find the value of } \tan 2 \mathrm{~A} \text {. } \]