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Answer:
(√3 + 3)÷ 6
Explanation:
√3 sinθ = cosθ
Therefore, tanθ = 1/✓3
tan30° = 1/√3
sin30°.tan30°(1+cot30°)÷ sin30° + cos30°
= 1/√2 . 1/√3 (1+√3) ÷ 1/√2 + √3/√2
= (1+√3)/√2.√3 ÷ (1+√3)/√2
= 1/√3
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