Class 11MathematicsTrigonometrical Ratios, Functions and IdentitiesMaximum and minimum values of trigonometrical functions, Conditional trigonometrical identities
DifficultIf $A = \sin^8\theta + \cos^{14}\theta$,then for all real values of $\theta$:
- A$A \ge 1$
- B$0 < A \le 1$
- C$1 < 2A \le 3$
- DNone of these
Explore More
Similar Questions
The value of $\sin \theta + \cos \theta$ will be greatest when
Easy
View SolutionThe maximum value of the function $f(x) = \tan \left(x + \frac{2 \pi}{3} \right) - \tan \left(x + \frac{\pi}{6} \right) + \cos \left(x + \frac{\pi}{6} \right)$ in the interval $\left[ -\frac{5 \pi}{12}, -\frac{\pi}{3} \right]$ is
If $\alpha+\beta+\gamma=2 \theta$,then $\cos \theta+\cos (\theta-\alpha)+\cos (\theta-\beta)+\cos (\theta-\gamma)$ is equal to
If $A+B=225^{\circ}$,then the value of $\frac{\cot A}{1+\cot A} \cdot \frac{\cot B}{1+\cot B}$ is equal to
The maximum value of $(7 \cos\theta + 24 \sin\theta) \times (7 \sin\theta - 24 \cos\theta)$ for every $\theta \in R$.
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo