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4. Inverse Trigonometric Functions
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Q2 of 303 Page 4

Find the domain of f(x) = cos–12x + sin–1x.

Domain of lies in the interval [–1, 1].

Therefore, the domain of lies in the interval [–1, 1].


–1 1



Domain of is


Domain of lies in the interval [–1, 1].


Domain of lies in the interval


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5

If (sin–1x)2 + (sin–1y)2 + (sin–1z)2 = 3/4 π2. Find x2 + y2 + z2.

1

Find the domain of definition of f(x) = cos–1(x2–4).

3

Find the domain of f(x) = cos–1 x + cos x.

4

Find the principal value of each of the following:

Questions · 303
4. Inverse Trigonometric Functions
1 1 1 1 1 1 2 2 3 3 3 3 4 5 1 2 3 4 4 4 4 5 5 5 5 1 1 1 1 2 2 3 3 3 1 1 1 1 2 2 3 3 1 1 1 1 1 2 3 3 3 3 1 1 1 1 2 3 3 3 3 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 1 1 1 1 1 1 1 1 1 2 2 2 2 3 4 1 1 1 2 2 2 3 1 1 1 1 1 2 3 4 5 6 7 8 9 10 1 1 1 2 3 3 3 3 3 3 3 3 3 3 4 1 2 2 2 3 3 1 2 3 4 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 4 4 5 6 7 7 8 8 8 8 8 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
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