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Category: Trigonometry

Question-132205

Question Number 132205 by Arijit last updated on 12/Feb/21 Commented by Arijit last updated on 12/Feb/21 $$\boldsymbol{\mathrm{Please}}\:\boldsymbol{\mathrm{Help}}\:\boldsymbol{\mathrm{me}}\:\boldsymbol{\mathrm{to}}\:\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{this}}….. \\ $$ Answered by mathmax by abdo last…

Prove-tan-A-B-tan-A-sin-B-cos-A-cos-A-B-

Question Number 132081 by liberty last updated on 11/Feb/21 $$\mathrm{Prove}\:\mathrm{tan}\:\left(\mathrm{A}+\mathrm{B}\right)−\mathrm{tan}\:\mathrm{A}=\:\frac{\mathrm{sin}\:\mathrm{B}}{\mathrm{cos}\:\mathrm{A}\:\mathrm{cos}\:\left(\mathrm{A}+\mathrm{B}\right)} \\ $$ Answered by rs4089 last updated on 11/Feb/21 $${tan}\left({A}+{B}\right)−{tanA} \\ $$$$\frac{{sin}\left({A}+{B}\right)}{{cos}\left({A}+{B}\right)}−\frac{{sinA}}{{cosA}} \\ $$$$\frac{{sin}\left({A}+{B}\right).{cosA}−{sinA}.{cos}\left({A}+{B}\right)}{{cos}\left({A}+{B}\right).{cosA}} \\…

Trigonometry-What-is-the-minimum-value-of-3sin-x-4cos-x-10-3sin-x-4cos-x-10-

Question Number 132016 by bramlexs22 last updated on 10/Feb/21 $$\mathrm{Trigonometry} \\ $$$$\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of} \\ $$$$\:\sqrt{\left(\mathrm{3sin}\:\mathrm{x}−\mathrm{4cos}\:\mathrm{x}−\mathrm{10}\right)\left(\mathrm{3sin}\:\mathrm{x}+\mathrm{4cos}\:\mathrm{x}−\mathrm{10}\right)}\:. \\ $$ Answered by EDWIN88 last updated on 11/Feb/21 $$\:\mathrm{consider}\:\left(\left(\mathrm{3sin}\:\mathrm{x}−\mathrm{10}\right)−\mathrm{4cos}\:\mathrm{x}\right)\left(\left(\mathrm{3sin}\:\mathrm{x}−\mathrm{10}\right)+\mathrm{4cos}\:\mathrm{x}\right)= \\…

Given-2-cos-A-cos-B-cos-3-B-2-sin-A-sin-B-sin-3-B-what-is-the-value-of-sin-A-B-

Question Number 132006 by bramlexs22 last updated on 10/Feb/21 $$\:\mathrm{Given}\:\begin{cases}{\sqrt{\mathrm{2}}\:\mathrm{cos}\:\mathrm{A}=\mathrm{cos}\:\mathrm{B}+\mathrm{cos}\:^{\mathrm{3}} \mathrm{B}}\\{\sqrt{\mathrm{2}}\:\mathrm{sin}\:\mathrm{A}=\mathrm{sin}\:\mathrm{B}−\mathrm{sin}\:^{\mathrm{3}} \mathrm{B}}\end{cases} \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{sin}\:\left(\mathrm{A}−\mathrm{B}\right). \\ $$ Answered by EDWIN88 last updated on 10/Feb/21 $$\:\begin{cases}{\mathrm{2cos}\:^{\mathrm{2}} \mathrm{A}=\mathrm{cos}\:^{\mathrm{2}}…

Question-131595

Question Number 131595 by Algoritm last updated on 06/Feb/21 Commented by Algoritm last updated on 06/Feb/21 $$\mathrm{x}_{\mathrm{1}} =\mathrm{37}/\mathrm{2}\:\:\:\mathrm{x}_{\mathrm{2}} =\mathrm{77}/\mathrm{4}\:\:\:\mathrm{x}_{\mathrm{3}} =\mathrm{65}/\mathrm{4} \\ $$$$\Sigma\boldsymbol{\mathrm{x}}=\mathrm{37}/\mathrm{2}+\mathrm{77}/\mathrm{4}+\mathrm{65}/\mathrm{4}=\mathrm{54}\:\: \\ $$$$\boldsymbol{\mathrm{prove}}\:\boldsymbol{\mathrm{that}}! \\…