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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Trigonometric Ratios & Identities

NDA 2019 · Mathematics · Trigonometric Ratios & Identities

What is the value of 46^ ^ 47^ ^ 48^ ^ 49^ ^ 50^ ^ 135^ ^ ?

What is the value of cos⁡46∘cos⁡47∘cos⁡48∘cos⁡49∘cos⁡50∘…cos⁡135∘?\cos 46^{{}^{\circ}} \cos 47^{{}^{\circ}} \cos 48^{{}^{\circ}} \cos 49^{{}^{\circ}}\cos 50^{{}^{\circ}} \ldots \cos 135^{{}^{\circ}} ?

Options

  1. A-1
  2. B0
  3. C1
  4. DGreater than 1

Correct answer

B. 0

Step-by-step solution

cos⁡46∘cos⁡47∘cos⁡48∘cos⁡49∘…..cos⁡135∘\cos 46^{{}^{\circ}} \cos 47^{{}^{\circ}} \cos 48^{{}^{\circ}} \cos 49^{{}^{\circ}} \ldots.. \cos 135^{{}^{\circ}} We know, cos⁡90∘=0∴\cos 90^{{}^{\circ}}=0\therefore Given expression has cos⁡90∘\cos 90^{{}^{\circ}} and so it's value is 0.
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