cos(75°) =__________________(a) (1 – \(\sqrt{3}\))/2\(\sqrt{2}\)(b) (\(\sqrt{3}\) + 1)/2\(\sqrt{2}\)(c) (\(\sqrt{3}\) – 1)/2\(\sqrt{2}\)(d) (-\(\sqrt{3}\) – 1)/2\(\sqrt{2}\)I have been asked this question in examination.My doubt stems from Trigonometric Functions of Sum and Difference of Two Angles-1 topic in portion Trigonometric Functions of Mathematics – Class 11

cos(75°) =__________________(a) (1 – \(\sqrt{3}\))/2\(\sqrt{2}\)(b)

1.	cos(75°) =__________________(a) (1 – \(\sqrt{3}\))/2\(\sqrt{2}\)(b) (\(\sqrt{3}\) + 1)/2\(\sqrt{2}\)(c) (\(\sqrt{3}\) – 1)/2\(\sqrt{2}\)(d) (-\(\sqrt{3}\) – 1)/2\(\sqrt{2}\)I have been asked this question in examination.My doubt stems from Trigonometric Functions of Sum and Difference of Two Angles-1 topic in portion Trigonometric Functions of Mathematics – Class 11
Answer» CORRECT choice is (C) (\(\SQRT{3}\) – 1)/2\(\sqrt{2}\) To ELABORATE: cos(75°) = cos (45°+30°) = cos45° cos30° – sin45° sin30° = (1/\(\sqrt{2}\) * \(\sqrt{3}\)/2) – (1/\(\sqrt{2}\) * 1/2) {cos(x + y)=cos x cos y – sin x sin y} = (\(\sqrt{3}\) – 1)/2\(\sqrt{2}\).

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