Question 5: Prove cos¯¹ 4/5 +cos¯¹ 12/13 = cos¯¹ 33/65
Class 12 - Math - Inverse Trigonometric Functions
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★ INVERSE TRIGONOMETRIC FUNCTIONS ★
Cos^-1 4/5 + Cos^-1 12/13
Cos^-1 [ 4/5 x 12 /13 ] - [ √1 - 16 /25 x √ 1 - 144/169 ]
Take care while multiplying , it's sensitive as always
Cos^-1 [ 48 /65 - √9/25 √25 /169 ]
→→→ Cos^-1 [ 48/65 - 15/65 ]
Cos^-1 [ 33/65 ]
Hence proved
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Cos^-1 4/5 + Cos^-1 12/13
Cos^-1 [ 4/5 x 12 /13 ] - [ √1 - 16 /25 x √ 1 - 144/169 ]
Take care while multiplying , it's sensitive as always
Cos^-1 [ 48 /65 - √9/25 √25 /169 ]
→→→ Cos^-1 [ 48/65 - 15/65 ]
Cos^-1 [ 33/65 ]
Hence proved
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