Find all the values of 'x' satisfying 0 <x< 180and
tan2x + cot2x= 2.
Answers
Answered by
0
Step-by-step explanation:
3
=∣sinxcosx∣+
2+tan
2
x+cot
2
x
⇒
3
=∣sinxcosx∣+
tan
2
x+cot
2
x+2tanxcotx
⇒
3
=∣sinxcosx∣+
(tanx+cotx)
2
⇒
3
=∣sinxcosx∣+∣(tanx+cotx)∣=∣sinxcosx∣+
∣
∣
∣
∣
∣
sinxcosx
sin
2
x+cos
2
x
∣
∣
∣
∣
∣
⇒
3
=∣sinxcosx∣+
∣sinxcosx∣
1
≥2 ...{∵AM≥GM}
∵
3
≥2 is not possible.
Therefore x have no solution.
Similar questions