Category: Trigonometry

Question Number 206899 by MATHEMATICSAM last updated on 29/Apr/24 $$\mathrm{If}\tan \theta =\frac{2x(x+1)}{2x+1}\mathrm{then}\mathrm{find}\sin \theta \mathrm{and}$$$$\cos \theta .$$ Answered by mathzup last updated on 29/Apr/24 $$\mathrm{1}+{tan}^{\mathrm{2}} \theta\:=\frac{\mathrm{1}}{{cos}^{\mathrm{2}} \theta}\:\Rightarrow{cos}^{\mathrm{2}} \theta\:=\frac{\mathrm{1}}{\mathrm{1}+{tan}^{\mathrm{2}}…

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Question Number 206787 by Amidip last updated on 25/Apr/24 Commented by mr W last updated on 25/Apr/24 $$you{don}^{\prime }ttellwhatyouwanttoknow?$$ Terms of Service Privacy Policy…

Question Number 206618 by MATHEMATICSAM last updated on 20/Apr/24 $$\mathrm{If}\mathrm{A}={\sin }^4\theta +{\cos }^4\theta \mathrm{then}\mathrm{select}\mathrm{the}$$$$\mathrm{correct}\mathrm{option}:$$$$\mathrm{i})0<\mathrm{A}<\frac{1}{2}$$$$\mathrm{ii})1<\mathrm{A}<\frac{3}{2}$$$$\mathrm{iii})\frac{1}{2}\le \mathrm{A}\le 1$$$$\mathrm{iv})\frac{3}{2}\le \mathrm{A}\le 2$$ Answered…

Question Number 206471 by MATHEMATICSAM last updated on 15/Apr/24 $$\mathrm{If}a\sin \theta =b\cos \theta =\frac{2c\tan \theta }{1-{\tan }^2\theta }\mathrm{then}\mathrm{prove}$$$$\mathrm{that}{(a^2-b^2)}^2=4c^2(a^2+b^2).$$ Answered by lepuissantcedricjunior last…