Download App

Trigonometry – II — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsTrigonometry – II2 Marks
MCQ
$2 \cos ^2 \theta-2 \sin ^2 \theta=1$, then $\theta=$
  • A
    $15^{\circ}$
  • ✓
    $30^{\circ}$
  • C
    $45^{\circ}$
  • D
    $60^{\circ}$
✓

Answer

Correct option: B.
$30^{\circ}$
(B)
$2 \cos ^2 \theta-2 \sin ^2 \theta=1$
$\Rightarrow 2 \cos 2 \theta=1 \Rightarrow \cos 2 \theta=\frac{1}{2}=\cos 60^{\circ}$
$\Rightarrow 2 \theta=60^{\circ} \Rightarrow \theta=30^{\circ}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from Trigonometry – II→Trigonometry – II — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

A relation $\phi$ from $C$ to $R$ is defined by $\text{x }\phi\text{ y}\Leftrightarrow|\text{x}|=\text{y}.$ Which one is correct?
→
Two dice are thrown together. The probability that at least one will show its digit greater than $3$ is :
→
The probability that at least one of the events A and B occurs is $3 / 5$. If A and B occur simultancously with probability $1 / 5$, the $P \left( A ^{\prime}\right)+ P \left( B ^{\prime}\right)$ is
→
The value of $\lim _{x \rightarrow 0} \frac{\sin a-\tan a}{\sin ^3 a}$ will be
→
If three dice are thrown then the probability that the sum of the numbers on their uppermost faces to be at least 5 is
→
Vertex of the parabola $y^2+2 y+x=0$ lies in the
→
Domain of the function $\frac{\sqrt{1+x}-\sqrt{1-x}}{x}$ is
→
If $\tan \theta=\frac{\sin \alpha-\cos \alpha}{\sin \alpha+\cos \alpha}$, then $\sin \alpha+\cos \alpha$ $\sin \alpha-\cos \alpha$ is equal to
→
The value of k which makes $f(x)=\left\{\begin{array}{c}\sin \frac{1}{x}, x \neq 0 \\ k , x=0\end{array}\right.$ continuous at $x=0$ is
→
If $\frac{c+i}{c-i}=a+i b$, where $a, b, c$ are real, then $a^2+b^2=$
→