Question

Prove that: cos 15 Degree + sin 15 Degree / cos⁡ 15 Degree - sin 15 Degree = √3

Answer 1

Answer:

LHS

(cos15+sin15)÷[(cos15-=sin15)

=[cos²15+sin²15+2sin15cos15]÷[cos²15-sin²15]

=[1+sin30]÷[cos30]

=[1+1/2]÷(√3/2)

=3/2÷√3/2

=3/√3

=(√3√3)/√3=√3