Mathematics- Inverse Trigonometric Ratios
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MCQ Quiz Section
Note:For the questions below arc means inverse like arctan means inverse tan function
1) sec^(-1)[sec(-30⁰)] =
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-60⁰
30⁰
-30⁰
150⁰
2) The value of sin^(-1) (sin10) is
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3π - 10
10
10 - 3π
none of these
3) 1 + cot^2 (sin^(-1) x) =
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1/2x
x^2
2/x
1/x^2
4) 2arctan(1/2)+ arctan(1/7) =
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arctan (31/17)
arctan (17/31)
1
arctan (1/14)
5) Find the general values of x which satisfies 2arctan(cosx) = arctan(2cosecx) [here n is an integer]
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nπ - π/4
2nπ - π/4
nπ + π/4
2nπ + π/4
6) The value of sin((2 arcsin(4/5)-arccos(12/13)) is
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323/525
323/325
324/325
523/525
7) tan(arccos(x)) =
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√(1 - x²) / x
√(1 + x²) / x
x / (1 + x²)
√(1 - x²)
8) If arcsin x + arcsin y + arcsin z = π/2 ,then x^2 + y^2 + z^2 + 2xyz is
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0
1
2
3
9) The function y = 2arctan x + arcsin( 2x/(1-x^2 ))
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can never be constant
is a constant for x < 1
is a constant for x >= 1
None of these
10) Solve the equation: arctan(2x) + arctan(3x) = nπ + π/4
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x = 1 , 1/6
x = 1 , -1/6
x = -1 , -1/6
x = -1 , 1/6
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