Introduction to Trigonometry: Class 10 Mathematics Q&A
3 free answers on Introduction to Trigonometry (Mathematics) for Class 10 students, across CBSE, ICSE and State boards. Includes questions such as “Value of Cos 180”.
Question & Answer
Questions
- MathematicsClass 10All
Value of Cos 180
The value of cos 180° equals -1. This is a standard trigonometric value that students memorize along with other important angles. Understanding why cos 180° = -1 can be visualized using the unit circle—a circle with radius 1 centered at the origin. In this representation, the cosine of an angle represents the x-coordinate of the point where the angle's terminal side intersects the unit circle. At 180° (or π radians), the terminal side points directly to the left along the
- MathematicsClass 10All
Cos 60
The value of cos 60° (or cos π/3 radians) equals 1/2 or 0.5. This is one of the standard trigonometric values that students memorize along with other important angles like 0°, 30°, 45°, 90°, and 180°. Understanding why cos 60° = 1/2 can be demonstrated using an equilateral triangle or the unit circle. In an equilateral triangle with side length 2, if you draw an altitude from one vertex to the opposite side, it bisects that side, creating two right triangles wit
- MathematicsClass 10All
Sec 30
The value of sec 30° (secant of 30 degrees) equals 2/√3 or (2√3)/3 after rationalization. Secant is a trigonometric function defined as the reciprocal of cosine: sec θ = 1/cos θ. Since cos 30° = √3/2, we have sec 30° = 1/(√3/2) = 2/√3. To rationalize (eliminate the radical from the denominator), multiply numerator and denominator by √3: (2/√3) × (√3/√3) = 2√3/3 ≈ 1.1547. Understanding secan