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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