Question 12: Prove 9π/8 - 9/4 sin¯¹ 1/3 = 9/4 sin¯¹ 2√2/3
Class 12 - Math - Inverse Trigonometric Functions
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Refer to the attachment
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Using. cosa/b = sin√b²-a²/b
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Using. cosa/b = sin√b²-a²/b
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★ INVERSE TRIGONOMETRIC FUNCTIONS ★
Let π = @
9@/8 - 9/4sin^-1/3 =
Taking 9/4 common
9/4 [ @/2 - Sin^-1 1/3 ]
9/4 Cos^-1 1/3 = 9/4Sin^-1 √8/3
9/4 Sin^-1 2√2/3
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Let π = @
9@/8 - 9/4sin^-1/3 =
Taking 9/4 common
9/4 [ @/2 - Sin^-1 1/3 ]
9/4 Cos^-1 1/3 = 9/4Sin^-1 √8/3
9/4 Sin^-1 2√2/3
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