If - -0- -2 satisfy the following simultaneous equation 2 sin 2 -3 sin 2 - and tan-3 tan- then the value of 8 cos 2 - is

2. 2 tan β/1+ tan^2 β=3. 2 tan α/1 + tan^2 α ⇒ 6 tan β/1+9 tan^2 β= 3 tan α/1+tan α ⇒ 1=7 tan^2 α ∴ cos^2 α =7/8 ...

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Sign of Trigonometric Ratios in Different Quadrants

If α, β∈0, π/...

Question

If $α, β ϵ (0, \frac{π}{2})$ satisfy the following simultaneous equation $2 s i n 2 β = 3 s i n 2 α a n d t a n β = 3 t a n α$ , then the value of ( $8 c o s 2 α)$ is ___

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