1. Write A = {1/2 ,2/5, 3/10, 4/17 } in set builder form 2. Convert 50 351 into radians.
3. Solve 3x2 +2x +1 = 0
4. Write cos4x in terms of sin x.
5. Find range of relation R={(x , y): x-2y=2, x, y ϵ {1,2,3,…,15}}.
6.The square of i is
(a) -1 (b)( 1- i )/√2 (c) (1 +i)/√2 (d) none of these.
7. I f z1 = 1 +2i, ⃑ = -2-3i , then ZZ1 is
(a) –i -8 (b) 4-7i (c) - 4 +7i (d)none of these.
8.The range of f(x)=3-5x, x ϵ R, x< -2 is
(a) (3, ∞) (b) (13, ∞) (c) (- ∞, 3) (d) (- ∞, -7)
9.Find tan
10.If sin x = −
√
, π < x <
, find sin
.
11.Let f = { ( ab, a + b ) ; a, b ϵN}. Is f a function from n to N ? Justify.
12. Draw Venn diagram for (A ) − ( − C )
13. Write Sin2x + sin x as a product of two trigonometric functions.
(OR)
Find the value of tan(π/8)
14. Write signum function and greatest integer function and also draw their
graphs.
15. Convert
+√
into standard form.
16.Prove that cos 6x + 1 = 32 cos6 x – 48cos4 x + 18cos2 x
( OR )
If sin x + sin y = a and cos x + cos y = b,
then find (i) sin (x + y) (ii) cos (x + y)
17. Prove that sin7x + sin3x + sin x + sin5x = 4sin4x cos x cos2x
( OR )
Prove that 16cos6
0 cos420 cos660 cos780
= 1
18. In a group of 498 students, 142 know Hindi, 171 know Telugu and 49
know Hindi only, 83 know both Hindi & Tamil, 9 know none of the languages,
92 know both Telugu & Tamil and 14 know all 3 languages Find number of
student who know (i) Hindi but not Tamil (ii) Telugu or Tamil, (iii) Tamil only.
please answer please
3. Solve 3x2 +2x +1 = 0
4. Write cos4x in terms of sin x.
5. Find range of relation R={(x , y): x-2y=2, x, y ϵ {1,2,3,…,15}}.
6.The square of i is
(a) -1 (b)( 1- i )/√2 (c) (1 +i)/√2 (d) none of these.
7. I f z1 = 1 +2i, ⃑ = -2-3i , then ZZ1 is
(a) –i -8 (b) 4-7i (c) - 4 +7i (d)none of these.
8.The range of f(x)=3-5x, x ϵ R, x< -2 is
(a) (3, ∞) (b) (13, ∞) (c) (- ∞, 3) (d) (- ∞, -7)
9.Find tan
10.If sin x = −
√
, π < x <
, find sin
.
11.Let f = { ( ab, a + b ) ; a, b ϵN}. Is f a function from n to N ? Justify.
12. Draw Venn diagram for (A ) − ( − C )
13. Write Sin2x + sin x as a product of two trigonometric functions.
(OR)
Find the value of tan(π/8)
14. Write signum function and greatest integer function and also draw their
graphs.
15. Convert
+√
into standard form.
16.Prove that cos 6x + 1 = 32 cos6 x – 48cos4 x + 18cos2 x
( OR )
If sin x + sin y = a and cos x + cos y = b,
then find (i) sin (x + y) (ii) cos (x + y)
17. Prove that sin7x + sin3x + sin x + sin5x = 4sin4x cos x cos2x
( OR )
Prove that 16cos6
0 cos420 cos660 cos780
= 1
18. In a group of 498 students, 142 know Hindi, 171 know Telugu and 49
know Hindi only, 83 know both Hindi & Tamil, 9 know none of the languages,
92 know both Telugu & Tamil and 14 know all 3 languages Find number of
student who know (i) Hindi but not Tamil (ii) Telugu or Tamil, (iii) Tamil only.
please answer please
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