96. If tan A = (root 3 + 1) ÷ (root 3 - 1) then the expression cos 2A + ( 2 + root 3) sin 2A i

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If $3 cot A = 4$ , check whether $\frac{1 - {tan}^{2} A}{1 + {tan}^{2} A} = {cos}^{2} A - {sin}^{2} A$ .

3 cot A = 4, t h e n \frac{1 - {tan}^{2} A}{1 + {tan}^{2} A} = {cos}^{2} A - {sin}^{2} A

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3 cot A = 4

\frac{1 - {tan}^{2} A}{1 + {tan}^{2} A} = {cos}^{2} A - {sin}^{2} A

tan A = 1 / 2, tan B = 1 / 3,

cos 2 A = sin 2 B

sin A + cos 2 A = 1 / 2

cos A + sin 2 A = 1 / 3,

sin 3 A

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