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Trigonometric Identities

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhat is the simplified value of (\sin^4 x-\cos^4 x)?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesMedium MathematicsIf \(\cosec x-\cot x=\frac{1}{3}\), what is the value of (\cosec x+\cot x)?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesMedium MathematicsA student claims that \(\sin(\pi-x)=-\sin x\). Which is the correct correction of the error?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesMedium MathematicsWhat is the simplified value of \(\frac{\cosec^2 x-1}{\cot^2 x}\)?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesMedium MathematicsWhat is the simplified value of \(\frac{\sec^2 x-1}{\tan^2 x}\)?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesMedium MathematicsWhat is the simplified value of \(\tan(\pi+x)-\tan(\pi-x)\)?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesMedium MathematicsWhat is the simplified value of (\frac{1-\sin^2 x}{\cos^2 x})?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesMedium MathematicsWhat is the simplified value of \(\frac{1-\cos^2 x}{\sin^2 x}\)?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesMedium MathematicsIf \(\tan x=2\), what is the value of \(\frac{\sin x}{\cos x}\)?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesMedium MathematicsIf (\sin x+\cos x=\sqrt{2}), what is the value of (\sin x\cos x)?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesMedium MathematicsWhich of the following identities is correct?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesEasy MathematicsWhat is the value of \(\cosec^2 x-\cot^2 x\)?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesEasy MathematicsWhat is the value of (\sec^2 x-\tan^2 x)?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesEasy MathematicsHow is (\cot x) written in terms of (\sin x) and (\cos x)?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesEasy MathematicsWhat is the value of the identity (\sin^2 x+\cos^2 x)?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesEasy MathematicsWhat is \(\frac{\cosec \theta}{\cot \theta}\) equal to?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesEasy MathematicsWhat is \(\cos(2\pi+\theta)\) equal to?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesEasy MathematicsWhat is the value of \(cosec^2\theta-\cot^2\theta\) = ?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesEasy MathematicsWhat is \(\sin^{-1}(-x)\) equal to for \(x\in[-1,1]\)?Class 12Inverse Trigonometric FunctionsProperties of inverse trigonometric functionsEasy MathematicsFind the value of \(\cos^{-1}\left(\frac{4}{5}\right)+\sin^{-1}\left(\frac{4}{5}\right)\).Class 12Inverse Trigonometric FunctionsProperties of inverse trigonometric functionsEasy