Question
Download Solution PDFDetermine the value of
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
cos (-θ) = cos θ
cos (2nπ - θ) = cos θ
| Angles in degrees | 0° | 30° | 45° | 60° | 90° |
| sin | 0 | 1/2 | 1 | ||
| cos | 1 | 1/2 | 0 | ||
| tan | 0 | 1 | Not defined |
Calculation:
We have,
⇒
Remove full rotations of 2π until the angle is between 0 and 2π
⇒
As we know that the value of
As we know, the value of cos θ repeats after an interval of 2π or 360°
⇒ cos (-1740°) = cos (1740°) [∵ cos (-θ) = cos θ]
We know that cos (2nπ - θ) = cos θ
As sin θ and cos θ are have a time period of 360°
⇒ cos (1740°) = cos (5 × 360° - 1740°)
⇒ cos (1740°) = cos (1800° - 1740°)
⇒ cos (1740°) = cos (60°)
As we know, cos 60° = 1/2
⇒ cos (-1740°) = 1/2.
∴ The value of
Last updated on Jun 19, 2025
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