what is the value of Tan15
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Hello Dear!!!
Tan15 = tan(45-30)
= tan45-tan30 / 1+tan45.tan30
= (1-1/√3) / (1+1*1/√3)
= (√3-1/√3) / (√3+1/√3)
=(√3-1/) / (√3+1)
multiply the numerator and denominator with √3-1
(√3-1)²/ (√3+1)(√3-1)
(3+1-2√3) / (3-1)
(4-2√3) / 2
2(2-√3) / 2
2-√3
tan15 is 2-√3
Tan15 = tan(45-30)
= tan45-tan30 / 1+tan45.tan30
= (1-1/√3) / (1+1*1/√3)
= (√3-1/√3) / (√3+1/√3)
=(√3-1/) / (√3+1)
multiply the numerator and denominator with √3-1
(√3-1)²/ (√3+1)(√3-1)
(3+1-2√3) / (3-1)
(4-2√3) / 2
2(2-√3) / 2
2-√3
tan15 is 2-√3
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