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Class 10 › Mathematics › Introduction to Trigonometry
CBSE2026Class Class 10 · Mathematics2 Marks · Short✅ Verified
(A) If $\tan\theta = \frac{24}{7}$, then find the value of $\sin\theta + \cos\theta$.
✅ Answer & Solution
Consider a right triangle with opposite side $=24$, adjacent side $=7$. Hypotenuse $=\sqrt{24^2+7^2}=\sqrt{576+49}=\sqrt{625}=25$. $\sin\theta = \frac{24}{25}$, $\cos\theta=\frac{7}{25}$. $\sin\theta+\cos\theta = \frac{24}{25}+\frac{7}{25}=\frac{31}{25}$.
