Question

cos 45º/
sec 30° + cosec 30°(evaluate)please in long term​

Answer 1

Answer:

≈ 2.61   is the correct answer.

Step-by-step explanation:

⇒ [cos 45° ÷ sec 30°] + cosec 30°

⇒ [(1/√2) ÷ (2/√3)] + 2

⇒ [(1/√2 × (√3/2)] + 2

⇒ √3/2√2 + 2

On RATIONALIZING √3/2√2, we get

⇒ [(√3×√2)/(2√2×√2)] + 2

⇒ √6/4 + 2

⇒√6/4 + 8/4

⇒ (8 + √6)/4  ≈ 2.61                 ←ANSWER

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