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Step-by-step explanation:
Explanation:
Let
θ 1 = sin − 1 ( 4 /5 )
θ 2 = sin − 1 ( 5 13 )
Then,
sin θ 1 = 4 /5 , ⇒ , cos θ 1 = 3 /5
sin θ 2= 5 /13 , ⇒ , cos θ 2 = 12 /13
sin ( θ 1 + θ 2 ) = sin θ 1 cos θ 2 + cos θ 1 sin θ 2
= 4 /5 ⋅ 12 /13 + 5/13 ⋅ 3 /5
=48 + 15 /65
= 63 /65
Therefore,
θ 1 +θ 2 = sin − 1 ( 63/65 )
proved
PLS MARK BRAINLIEST
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