prove that the following:
a) 1 + Cos pi/6 / 1 - Sin pi/3 = 7 + 4√3
b) Cot60° × Cot30° + 1/Cot30° - Cot60° = Tan60°
✨
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Answer:
Step-by-step explanation:LHS=(
3
+1)(3−cot30)
=3
3
−
3
cot30+3−3cot30
=3
3
−
3
cot30+
3
3
−
3
3
cot30
=3
3
−
3
cot30(1+
3
)+3
=3
3
−
tan30
cot30
(1+
3
)+3
=3
3
−
tan30
cot30
tan45−
tan30tan30
cot30
+cot
2
30
=tan
3
60−2sin60
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