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Home » Prove that ????????????−???? (12/13) + sin-1(3/5) = sin-1(56/65)
Prove that ????????????−???? (12/13) + sin-1(3/5) = sin-1(56/65)
CBSE | Class 12 | Inverse Trigonometric Functions | Maths | NCERT
Prove that ????????????−???? (12/13) + sin-1(3/5) = sin-1(56/65)

Address the articulation, Using personality: sin (θ + ϕ) = sin θ cos ϕ + cos θ sin ϕ

= 12/13 x 3/5 + 12/13 x 3/5

= (20+36)/65

= 56/65

or then again sin (θ + ϕ) = 56/65

or then again θ + ϕ) = sin – 1 56/65

Returning the worth of θ and ϕ, we get

cos−1(12/13 ) + sin−1 (13/56)= sin−1 (56/ 65)

Thus Proved.

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