Evaluate: $2 \sin^2 30° \sec 60° + an^2 60°$

Question

Evaluate: $2 \sin^2 30° \sec 60° + 	an^2 60°$

Accepted Answer

Step 1: $2 \sin^2 30° \sec 60° + 	an^2 60° = 2 	imes \left(\frac{1}{2}ight)^2 	imes 2 + (\sqrt{3})^2$
Step 2: $= 2 	imes \frac{1}{4} 	imes 2 + 3 = 1 + 3 = 4$

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Solution