Find the value of the trigonometric ratio c o s 62 ° . Round your answer to the nearest thousandth.

We have to find the value of the trigonometric ratio c o s 62 ° . We have to convert the angle measure from degrees to radians. Radians = Degrees × π 180 Radians = 7 π 12 ∴ cos ( 62 ° ) = cos 7 π 12 ⇒ cos 7 π 12 = cos π 4 + π 3 The trigonometric identity that we are going to use is the angle sum identity for cosine; cos ( A + B ) = cos ( A ) cos ( B ) − sin ( A ) sin ( B ) ⇒ cos π 4 + π 3 = cos π 3 cos π 4 - sin π 3 sin π 4 Evaluating the trigonometric ratios yields; ⇒ cos π 4 + π 3 = 1 2 × 2 2 - 3 2 × 2 2 = 2 4 - 6 4 = 2 - 6 4 = 0 . 67350 ⇒ 0 . 67350 = 0 . 674 Hence, the required answer is 0 . 674 .

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MYP Mathematics A concept-based approach 3>Chapter 2 - Triangles Principles, Processes and Solutions>Practice 5

David Weber, Talei Kunkel, Rose Harrison and, Fatima Remtulla Solutions for Chapter: Triangles Principles, Processes and Solutions, Exercise 31: Practice 5

Author:David Weber, Talei Kunkel, Rose Harrison & Fatima Remtulla

David Weber Mathematics Solutions for Exercise - David Weber, Talei Kunkel, Rose Harrison and, Fatima Remtulla Solutions for Chapter: Triangles Principles, Processes and Solutions, Exercise 31: Practice 5

Attempt the practice questions on Chapter 2: Triangles Principles, Processes and Solutions, Exercise 31: Practice 5 with hints and solutions to strengthen your understanding. MYP Mathematics A concept-based approach 3 solutions are prepared by Experienced Embibe Experts.

Questions from David Weber, Talei Kunkel, Rose Harrison and, Fatima Remtulla Solutions for Chapter: Triangles Principles, Processes and Solutions, Exercise 31: Practice 5 with Hints & Solutions

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MYP Mathematics A concept-based approach 3>Chapter 2 - Triangles Principles, Processes and Solutions>Practice 5>Q 1

Find the value of the trigonometric ratio $\Rightarrow \cos (\frac{π}{4} + \frac{π}{3}) = \frac{1}{2} \times \frac{\sqrt{2}}{2} - \frac{\sqrt{3}}{2} \times \frac{\sqrt{2}}{2} = \frac{\sqrt{2}}{4} - \frac{\sqrt{6}}{4} = \frac{\sqrt{2} - \sqrt{6}}{4} = 0.67350$ . Round your answer to the nearest thousandth.