Exams
Subjects
Classes
Home
Exams
Mathematical Ability
Trigonometry
if sin theta frac 3 5 and...
Question:
medium
If $\sin\theta = \frac{3}{5}$ and $\theta<90^\circ$, then \[ \frac{\tan\theta - 2\cos\theta}{3\sin\theta + \sec\theta} = ? \]}
Show Hint
For $\sin\theta = \frac{3}{5}$, always recall the $3$-$4$-$5$ triangle.
APICET - 2025
APICET
Updated On:
Apr 23, 2026
$-\frac{17}{61}$
$61$
$\frac{61}{17}$
$71$
Show Solution
The Correct Option is
A
Solution and Explanation
Download Solution in PDF
Was this answer helpful?
0
Top Questions on Trigonometry
If \( \sin^{-1} x + \cos^{-1} y = \frac{3\pi}{10} \), then the value of \( \cos^{-1} x + \sin^{-1} y \) is:
MHT CET - 2024
Mathematics
Trigonometry
View Solution
\( \sin^{-1}[\sin(-600^\circ)] + \cot^{-1}(-\sqrt{3}) = \)
MHT CET - 2024
Mathematics
Trigonometry
View Solution
One of the principal solutions of \( \sqrt{3} \sec x = -2 \) is equal to:
MHT CET - 2024
Mathematics
Trigonometry
View Solution
If \(\alpha + \beta = \frac{\pi}{2}\) and \(\beta + \gamma = \alpha\), then the value of \(\tan\alpha\) is:
MHT CET - 2024
Mathematics
Trigonometry
View Solution
Want to practice more? Try solving extra ecology questions today
View All Questions
Questions Asked in APICET exam
Fill in the blanks with a suitable word in the sentence below:
I could not achieve all that I aimed _____.
APICET - 2025
Grammar
View Solution
Choose the correct passive voice:
A strong storm destroyed many houses in the village.
APICET - 2025
Grammar
View Solution
Choose the indirect speech for the following:
Clinton said, “I am very busy now.”}
APICET - 2025
Grammar
View Solution
Choose the indirect speech for the following:
He asked, “Where have you been?”}
APICET - 2025
Grammar
View Solution
Fill in the blank with suitable word:
________ intake of sugar can cause health problems.
APICET - 2025
Grammar
View Solution