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cos‐¹( cos2π/3 ) + sin‐¹ ( sin2π/3 )
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class 12th inverse trigonometry
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12th
Maths
Inverse Trigonometric Functions
Properties of Inverse Trigonometric Functions
Find the value of cos^-1 (c...
MATHS
Find the value of cos
−1
(cos
3
2π
)+sin
−1
(sin
3
2π
).
HARD
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ANSWER
Given, cos
−1
(cos
3
2π
)+sin
−1
(sin
3
2π
)
=cos
−1
(cos(π−
3
π
))+sin
−1
(sin(π−
3
π
))
=cos
−1
(−cos(
3
π
))+sin
−1
(sin
3
π
)
=cos
−1
(
2
−1
)+sin
−1
(
2
3
)
=π−
3
π
+
3
π
=π
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