Asked by Ram
Find value of tan75/2
Answers
Answered by
Steve
If you mean tan(75/2), then
sin<sup>2</sup>15 = (1+cos30)/2 = (2-√3)/4
cos<sup>2</sup>15 = (1-cos30)/2 = (2+√3)/4
sin75 = cos15
cos75 = sin15
tan 75/2 = (1-cos75)/sin75
= (1 - √(2-√3)/4)/√((2+√3)/4)
= (2 - √(2 - √3))/√(2 + √3)
= 0.7673
sin<sup>2</sup>15 = (1+cos30)/2 = (2-√3)/4
cos<sup>2</sup>15 = (1-cos30)/2 = (2+√3)/4
sin75 = cos15
cos75 = sin15
tan 75/2 = (1-cos75)/sin75
= (1 - √(2-√3)/4)/√((2+√3)/4)
= (2 - √(2 - √3))/√(2 + √3)
= 0.7673
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Tan75/2=?
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