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Category: Trigonometry

If-a-b-and-A-of-a-triangle-are-fixed-and-two-possible-values-of-the-third-side-be-c-1-and-c-2-such-that-c-1-2-c-1-c-2-c-2-2-a-2-then-find-angle-A-

Question Number 21889 by ajfour last updated on 06/Oct/17 Ifa,b,andAofatrianglearefixedandtwopossiblevaluesofthethirdsidebec1andc2suchthat$$\boldsymbol{{c}}_{\mathrm{1}} ^{\mathrm{2}} +\boldsymbol{{c}}_{\mathrm{1}} \boldsymbol{{c}}_{\mathrm{2}} +\boldsymbol{{c}}_{\mathrm{2}} ^{\mathrm{2}} =\boldsymbol{{a}}^{\mathrm{2}} ,\:{then}\:{find}\:{angle}\:{A}.…

prove-that-sin-x-2-sin-x-sin-3x-sin-x-2sin-x-sin-3x-tan-2-x-2-

Question Number 87424 by Rio Michael last updated on 04/Apr/20 provethatsinx2sinx+sin3xsinx+2sinx+sin3xtan2(x2) Commented by john santu last updated on 04/Apr/20 $$\frac{\mathrm{sin}\:\mathrm{3x}−\mathrm{sin}\:\mathrm{x}}{\mathrm{sin}\:\mathrm{3x}+\mathrm{3sin}\:\mathrm{x}}\:=\:\frac{\mathrm{2cos}\:\mathrm{2x}\:\mathrm{sin}\:\mathrm{x}}{\mathrm{3sin}\:\mathrm{x}−\mathrm{4sin}\:^{\mathrm{3}} \mathrm{x}+\mathrm{3sin}\:\mathrm{x}} \