What is the value of the following expression:sqrt3cot15^circ

Nann 2021-09-13 Answered
What is the value of the following expression:
3cot15
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Expert Answer

Alannej
Answered 2021-09-14 Author has 104 answers
First, find tan15
tan(AB)=tanAtanB1+tanAtanB
tan15=tan(6045)
tan15=tan60tan451+tan60tan45
tan15=311+(3)(1)
=313+1
Then,
cot15=3+131
cot15=3+131×3+13+1
cot15=3+23+131
cot15=23+42
cor15=3+2
Substitute to given expression:
3cot15=3(3+2)
3cot15=3+22
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