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Category: Trigonometry

If-Cos-x-cos-y-x-y-cos-then-prove-that-tan-2-x-y-x-y-tan-2-

Question Number 71918 by lalitchand last updated on 22/Oct/19 IfCosθ=xcosβyxycosβthenprovethat,tanθ2=xyx+ytanβ2 Commented by Prithwish sen last updated on 22/Oct/19 Usingcomponendodividendo1cosθ1+cosθ=(1cosβ)(x+y)(1+cosβ)(xy)$$\boldsymbol{\mathrm{tan}}\frac{\boldsymbol{\theta}}{\mathrm{2}}\:=\:\sqrt{\frac{\boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{y}}}{\boldsymbol{\mathrm{x}}−\boldsymbol{\mathrm{y}}}}\:\boldsymbol{\mathrm{tan}}\frac{\boldsymbol{\beta}}{\mathrm{2}}…

Given-cos-8-6cos-6-13cos-4-8cos-2-cos-7-5cos-5-8cos-3-1-2-then-what-the-value-of-tan-2-

Question Number 137338 by liberty last updated on 01/Apr/21 Givencos8θ+6cos6θ+13cos4θ+8cos2θcos7θ+5cos5θ+8cos3θ=12thenwhatthevalueoftan2θ? Answered by EDWIN88 last updated on 01/Apr/21 considernumerator$$\Leftrightarrow\:\mathrm{cos}\:\mathrm{8}\theta+\mathrm{cos}\:\mathrm{6}\theta+\mathrm{5}\left(\mathrm{cos}\:\mathrm{6}\theta+\mathrm{cos}\:\mathrm{4}\theta\right)+\mathrm{8}\left(\mathrm{cos}\:\mathrm{4}\theta+\mathrm{cos}\:\mathrm{2}\theta\right) \