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If a cos(x + y) = b cos(x − y), show that (a + b) tan x = (a − b) cot y

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प्रश्न

If a cos(x + y) = b cos(x − y), show that (a + b) tan x = (a − b) cot y

बेरीज
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उत्तर

a cos (x + y) = b cos (x – y)

a [cos x cos y – sin x sin y] = b [cos x cos y + sin x sin y]

a cos x cos y – a sin x sin y = b cos x cos y + b sin x sin y

a cos x cos y – b cos x cos y = a sin x sin y + b sin x sin y

(a – b) cos x cos y = (a + b) sin x sin y

`("a" - "b") cosy/siny = ("a" + "b") sinx/cosx`

(a – b) cot y = (a + b) tan x

(a + b) tan x = (a – b) cot y .

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Trigonometric Functions and Their Properties
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometry - Exercise 3.4 [पृष्ठ १०९]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 3 Trigonometry
Exercise 3.4 | Q 10 | पृष्ठ १०९

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