Simplify the following expressions: a) arccos(0) , arcsin(-1) , arctan(-1) b) sin(arcsin(-1/2)) , arccos(cos(π/2)) , arccos(cos(-π/2)) c) cos(arcsin(-1/2)) , arcsin(sin(π/3)) , arcsin(tan(3π/4)) d) arccos(tan(7π/4)) ,
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Class 12
>>Maths
>>Inverse Trigonometric Functions
>>Inverse Trigonometric Functions
>>Calculate. arctan 1 + arccos ( -
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Calculate.
arctan 1+arccos(−
2
1
)+arcsin(−
2
1
)=?
Medium
Solution
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Verified by Toppr
arctan1+arccos(−
2
1
)+arcsin(−
2
1
)
=π/4+π−π/3−π/6=
12
3π+12π−4π−2π
=
12
3π
=
4
3π
solution
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