✓ Board-verified
Mathematics · 2026 · 2 marks
CBSE 2026 · Region 1 · Set 1 · Q24 (A)
If tan θ=24/7, then find the value of sin θ+ cos θ.
If $\displaystyle \tan \theta=\frac{24}{7}$, then find the value of $\displaystyle \sin \theta+\cos \theta$.
Marking-scheme solution
\[\begin{aligned}
& \tan \theta=\frac{24}{7}=\frac{P}{B} \\
& \text { Getting, } \sin \theta=\frac{24}{25} \text { and } \cos \theta=\frac{7}{25} \\
& \begin{aligned}
\therefore \sin \theta+\cos \theta & =\frac{24}{25}+\frac{7}{25} \\
& =\frac{31}{25}
\end{aligned}
\end{aligned}
\]
All Introduction to Trigonometry questions2026 question paperNCERT solutions: Introduction to TrigonometryPractice Introduction to Trigonometry →
More from Introduction to Trigonometry
- Prove that: (1+ cot θ-cosec θ)(1+ tan θ+ sec θ)=22026
- Evaluate: (5 cos^2 60^°+4 sec^2 30^°- tan^2 45^°)/(sin^2 30^°+ cos^2 30^°)2026
- [5/8 sec^2 60^°- tan^2 60^°+ cos^2 45^°] is equal to2023
- If sin θ+ cos θ=√3, then prove that tan θ+ cot θ=12026
- The hour-hand of a clock is 6 cm long. The angle swept by it between 7:20 a.m. and 7:55 a.m. is:2023
- If x=a cos θ and y=b sin θ, then the value of b^2 x^2+a^2 y^2 is:2024
- Assertion: For an acute angle θ, value of cosec θ cannot be 1/(√2). Reason (R): cosec θ ≥ 1 for 0^° ≤ θ ≤ 90^°2025
- Prove that (cosec A- sin A)( sec A- cos A)=1/(cot A+ tan A).2023
CBSE Class 10 Mathematics past-paper question from the 2026 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.