Question:medium

The range of the function $y = \log(\sin x)$ where $\sin x > 0$ is:

Show Hint

The log of a value between 0 and 1 is always negative. Since $\sin x$ never exceeds 1, its log can never be positive.

Updated On: May 16, 2026

$[0, \infty)$
$(-\infty, \infty)$
$(-\infty, 0]$
$[-1, 1]$

Show Solution

The Correct Option is C

Solution and Explanation

Was this answer helpful?

0

Top Questions on limits of trigonometric functions

Find the value of the following expression: \[ \tan^2(\sec^{-1}4) + \cot(\csc^{-1}3) \]
- MHT CET - 2025
- Mathematics
- limits of trigonometric functions
View Solution
Given a real-valued function \( f \) such that: \[ f(x) = \begin{cases} \frac{\tan^2\{x\}}{x^2 - \lfloor x \rfloor^2}, & \text{for } x > 0 \\ 1, & \text{for } x = 0 \\ \sqrt{\{x\} \cot\{x\}}, & \text{for } x < 0 \end{cases} \] Then:
- BITSAT - 2024
- Mathematics
- limits of trigonometric functions
View Solution
\(\lim_{{x \to 0}} \limits\) \(\frac{cos(sin x) - cos x }{x^4}\) is equal to :
- JEE Main - 2022
- Mathematics
- limits of trigonometric functions
View Solution
Evaluate
\[ \lim_{x \to 0} \sqrt{\frac{x - \sin x}{x + \sin^2 x}} \]
- BITSAT - 2018
- Mathematics
- limits of trigonometric functions
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

Questions Asked in MHT CET exam

Which disease is primarily spread by female Anopheles mosquitoes?

MHT CET - 2024
HIV and AIDS

How many ATP molecules are needed as an initial investment in the glycolytic cycle (normal glycolysis)?

MHT CET - 2024
Glycolysis

Total genetic content of an organism is called

MHT CET - 2024
Non-Mendelian Genetics

Two monkeys off mass 10 kg and 8 kg are moving along a vertical light rope the former climbing up with an acceleration of 2 m/second square while the latter coming down with a uniform velocity of 2 m/sec square find the tension in the rope at the fixed support

MHT CET - 2024
tension