TS EAMCET · Maths · Trigonometric Ratios & Identities
If \(1^{\circ}=0.0175\) radians, then the approximate value of \(\sec 58^{\circ}\) is
- A \(1.9899\)
- B \(1.8788\)
- C \(1.8511\)
- D \(1.9677\)
Answer & Solution
Correct Answer
(B) \(1.8788\)
Step-by-step Solution
Detailed explanation
\(f(x) = \sec x\) \(x_0 = 60^{\circ}, \Delta x = 2^{\circ}\) \(\Delta x = 2 \times 0.0175 = 0.035\) rad \(f(x_0) = \sec 60^{\circ} = 2\) \(f'(x_0) = \sec 60^{\circ} \tan 60^{\circ} = 2 \sqrt{3}\) \(\sec 58^{\circ} \approx f(x_0) - f'(x_0) \Delta x\)…
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