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4. Inverse Trigonometric Functions
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Q1 of 303 Page 4

Evaluate each of the following:

The value of sin is


∴ The question becomes sin–1


Let sin–1 = y


⇒ –sin y =


= –sin


As, –sin(θ) is sin(–θ).


⇒ –sin = sin


The range of principal value of sin–1 is and sin


Therefore, the value of sin–1(sin) is.


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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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