Maths · Trigonometrical identities and trigonometrical functions
If 1 degree radians, then the approximate value of degrees is
If 1 degree \( =0.017 \) radians, then the approximate value of \( \sin 46 \) degrees is
- A. 0 .7194
- B. \( \frac{0.017}{\sqrt{2}} \)
- C. \( \frac{1.017}{\sqrt{2}} \)
- D. none of these
Step-by-step solution
Using linear approximation: sin(46°) = sin(45°+1°) ≈ sin45° + cos45° * (1° in radians) = 1/√2 + (1/√2)*0.017 = 1.017/√2.
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