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Range of Trigonometric Ratios from 0 to 90 Degrees

eliminate bet...

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eliminate beta from tan alpha = n tan beta and sin alpha = m sin beta

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tan β = \frac{n sin α cos α}{1 - n {sin}^{2} α}

tan (α - β) = (1 - n) tan α

tan β = \frac{n sin α cos α}{1 - n {sin}^{2} α}

t a n (α - β) = (1 - n) t a n α

sin (α + β) = 1, sin (α - β) = 1 / 2

tan (α + 2 β) tan (2 α + β) =

tan (α + β) + tan (α - β) = \frac{sin 2 α}{1 - {sin}^{2} α - {sin}^{2} β}

tan β = \frac{tan α + tan β}{1 + tan α tan β}

sin c β = \frac{sin 2 α + sin 2 γ}{1 + sin 2 α sin 2 γ}

c

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Range of Trigonometric Ratios from 0 to 90

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Range of Trigonometric Ratios from 0 to 90 Degrees

Standard X Mathematics

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