Which of the following equations have no solutions : 3 sin θ = 5 - Vidyadip

Question

Which of the following equations have no solutions : 3 sin θ = 5

✓

Answer

3 sin θ = 5

$\therefore \sin \theta=\frac{5}{3}$

This is not possible because -1 ≤ sin θ ≤ 1 for any θ.
∴ 3 sin θ = 5 does not have any solution.

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 "Answer the following questions in short." from Trigonometric Functions→Trigonometric Functions — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Integrate the following functions w.r.t. x:
$\frac{3 x^3-2 x+5}{x \sqrt{x}}$

Verify which of the following is p.d.f. of r.v. X: $f(x)=\sin x$, for $0 \leq x \leq \frac{\pi}{2}$

Determine the truth values ofp and q in the following cases : (p ∧ q) is F and (p ∧ q) → q is T

Define degree of a differential equation.

Write the duals of each of the following. (p ∨ q) ∧ (r ∨ s)

Find the c.d.f. $F(x)$ associated with p.d.f. $f(x)$ of r.v. $X$ where $f(x)=3\left(1-2 x^2\right) \quad$ for $0<x<1$ and $=0$, otherwise.

Diffrentiate the following w. r. t. x.

$\sin ^{-1}\left(\sqrt{\frac{1+x^2}{2}}\right)$

Write the negations of the following.$Ɐ n \in N, n^2 + n + 2$ is divisible by $4$.

Find the general solutions of the following equations :

$\operatorname{cosec} \theta=-\sqrt{2}$

Find the area of the ellipse $\frac{x^2}{1}+\frac{y^2}{4}=1$, in first quadrant