Class 11MathematicsTrigonometrical Ratios, Functions and IdentitiesMix Examples-Trigonometrical Ratios, Functions and Identities
Mediumજો $\cot \theta + \tan \theta = 3$ અને $1 - \cos^2 \theta - \alpha \cos \theta = 0$ હોય,તો
- A$6 \alpha^2(9 - \alpha^2) = 1$
- B$6 \alpha^2(\alpha^2 - 9) = 1$
- C$9 \alpha^2(6 - \alpha^2) = 1$
- D$9 \alpha^2(\alpha^2 - 6) = 1$
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Similar Questions
ધારો કે $S = \{x \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right) : 9^{1-\tan^2 x} + 9^{\tan^2 x} = 10\}$ અને $\beta = \sum_{x \in S} \tan^2\left(\frac{x}{3}\right)$,તો $\frac{1}{6}(\beta - 14)^2$ ની કિંમત શોધો.
જો $\tan(\pi \sin \theta) = \cot(\pi \cos \theta)$ હોય,તો $\left| \cot \left( \theta - \frac{\pi}{4} \right) \right|$ ની કિંમત શોધો.
Difficult
View Solutionસમીકરણોની પ્રણાલી: $2x \cos^2 \theta + y \sin 2\theta - 2 \sin \theta = 0$,$x \sin 2\theta + 2y \sin^2 \theta = -2 \cos \theta$,અને $x \sin \theta - y \cos \theta = 0$,$\theta$ ના તમામ મૂલ્યો માટે,શું કરી શકે છે:
જો $\cos \theta - 4 \sin \theta = 1$ હોય,તો $\sin \theta + 4 \cos \theta$ ની કિંમત શોધો.
DifficultAP EAMCET 2005
View Solution$3(\sin x-\cos x)^{4}+6(\sin x+\cos x)^{2}+4(\sin ^{6} x+\cos ^{6} x)$ ની કિંમત શું થાય?
MediumKCET 2009
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