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4. Inverse Trigonometric Functions
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Q7 of 303 Page 4

Write each of the following in the simplest form:

Assume x = a sinθ


= tan–1


= tan–1


= tan–1


= tan–1


= tan–1


Cos θ = cos2 – sin2 and sinθ = ,cos2 + sin2 = 1


= tan–1


= tan–1


= tan–1


= tan–1(tan)


=


But θ = sin–1


∴ The given equation simplification to sin–1 .


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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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