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Question : 108 of 160
Marks:
+1,
-0
Solution:
∵‌‌x‌=tan‌15∘=tan(45∘−30∘)‌=‌| tan‌45∘−tan‌30∘ |
| 1+tan‌45∘‌tan‌30∘ |
=‌‌=‌=‌‌=‌=2−√3‌ and ‌y‌=cosec‌75∘‌=‌‌=‌| 1 |
| sin‌45∘‌cos‌30∘+cos‌45∘‌s‌i‌n‌30∘ |
‌=‌=‌×‌ ‌=‌=√6−√2‌‌ and ‌z=4sin‌18∘=4(‌)=√5−1It is clear from above that
‌(2−√3)‌<(√6−√2)<(√5−1)⇒‌x‌<y<z
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