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Example 10 - Show that sin-1 3/5 - sin-1 8/17  = cos-1 84/85 - Examples

  1. Class 12
  2. Important Question for exams Class 12
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Example 10 Show that sin-1 3/5 − sin-1 8/17 = cos-1 84/85 Let sin-1 3/5 = a and sin-1 8/17 = b We know that cos (a – b) = cos a cos b + sin a sin b cos (a – b) = 4/5 × 15/17 + 3/5 × 8/17 cos (a – b) = (60 + 24)/(17 × 5) cos (a – b) = 84/85 (a – b) = cos-1 (84/85) Putting the value of a and b sin-1 3/5 – sin-1 8/7 = cos-1 (84/85) Hence proved

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