© examsiri.com
Question : 23 of 160
Marks:
+1,
-0
Solution:
Given,
f(x)=‌| 2sin‌()‌cos() |
| 3‌tan(‌)−5 sec(‌) |
We know that
‌sin‌(kx)⟶‌ period ‌=‌‌cos(kx)⟶‌ period ‌=‌‌tan(kx)⟶‌ period ‌=‌‌ sec(kx)⟶‌ period ‌=‌So, for
sin‌(‌), period
=‌=6‌cos(‌)‌ period ‌=‌=5‌tan(‌)‌ period ‌=‌=‌‌ sec(‌)‌ period ‌=‌=‌Now, the LCM of
6,5,‌ and
‌ is as follows
LCM of
{‌,‌,‌,‌}=‌| LCM‌ of ‌(6,5,2,6) |
| ‌ HCF of ‌(1,1,7,5) |
⇒‌=30So, the period of
f(x) is 30 .
© examsiri.com
Go to Question: