
### Instruction: help me answer this question Find the value of sin (1005°)., think step by step
### Assistant: We know that the values of sin x repeat after an interval of 2π or 360°. Therefore, sin (1005°) = sin (1005° - 900°) = sin 105° = sin (90° + 15°) = -cos 15°. Hence, sin (1005°) = -1/√2. , The answer is The value of sin (1005°) is -1/√2.
