Question:
The radian measure of 520° is:
The radian measure of 520° is:
Show Hint
To convert degrees to radians, multiply the degree measure by \(\frac{\pi}{180}\).
Updated On: Mar 22, 2026
- \(\frac{25\pi}{9}\)
- \(\frac{26\pi}{9}\)
- \(\frac{13\pi}{9}\)
- \(\frac{24\pi}{9}\)
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Converting degrees to radians.
The formula to convert degrees to radians is: \[ \text{Radian measure} = \text{Degree measure} \times \frac{\pi}{180}. \]
Step 2: Apply the formula.
Substitute 520° into the formula: \[ \text{Radian measure} = 520 \times \frac{\pi}{180} = \frac{520\pi}{180} = \frac{25\pi}{9}. \]
Step 3: Conclusion.
The correct answer is (A) \(\frac{25\pi}{9}\). Final Answer:} \(\frac{25\pi}{9}\).
The formula to convert degrees to radians is: \[ \text{Radian measure} = \text{Degree measure} \times \frac{\pi}{180}. \]
Step 2: Apply the formula.
Substitute 520° into the formula: \[ \text{Radian measure} = 520 \times \frac{\pi}{180} = \frac{520\pi}{180} = \frac{25\pi}{9}. \]
Step 3: Conclusion.
The correct answer is (A) \(\frac{25\pi}{9}\). Final Answer:} \(\frac{25\pi}{9}\).
Was this answer helpful?
0
0
Top Questions on Trigonometry
- If \( \tan A = \cot B \), prove that \( A + B = 90^\circ \).
- Evaluate $-5 \cos^2 60^\circ + 4 \sec^2 30^\circ - \tan 45^\circ$
- If \(\cot \theta = \frac{7}{8}\), then evaluate \[ \frac{(1 + \sin \theta)(1 - \sin \theta)}{(1 + \cos \theta)(1 - \cos \theta)} \]
- In the given figure, the angle of elevation of the top of a tower AC from a point B on the ground is $60^\circ$. If the height of the tower is 20m, find the distance of the point from the foot of the tower.
\(cos\left(\frac{\pi}{2} + x\right) \) is equal to:
- HPBOSE Class XII - 2026
- Mathematics
- Trigonometry
View More Questions
Questions Asked in HPBOSE exam
If A = \(\{a,e,i,o,u\},\) B = \(\{a,b,c\},\) then A $\cup$ B is:
- HPBOSE Class XII - 2026
- Set Theory
- If \( f(x) = x^2 \), find \( \frac{f(1.1) - f(1)}{1.1 - 1} \).
- HPBOSE Class XII - 2026
- limits and derivatives
- Find the values of the other five trigonometric functions, if \( \cos x = -\frac{1}{2} \), and \( x \) lies in the third quadrant.
- HPBOSE Class XII - 2026
- Trigonometric Identities
- Find the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity, and the length of the latus rectum of the ellipse: \[ \frac{x^2}{36} + \frac{y^2}{16} = 1 \]
- HPBOSE Class XII - 2026
- Coordinate Geometry
- The vertices of \( \triangle PQR \) are \( P(2,1) \), \( Q(-2,3) \), and \( R(4,5) \). Find the equation of the median through the vertex \( R \).
- HPBOSE Class XII - 2026
- Coordinate Geometry
View More Questions