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Question : 27 of 160
Marks:
+1,
-0
Solution:
Let
z=b‌tan‌‌tan‌‌=b‌tan[90−(‌)]‌tan(‌)‌=b‌cot(‌)‌tan(‌)‌=b[‌| 2‌cos()‌s‌i‌n‌() |
| 2sin‌(‌)‌cos(‌) |
] =b[‌| sin‌C−sin‌A |
| sin‌C+sin‌A |
]......(i)
cos‌A=‌ ‌⇒‌=‌⇒17b=b2+72‌⇒b2−17b+72=0⇒b=9‌ or ‌8 sin‌A=√1−cos2A=√1−(‌)2=√‌ sin‌C=√1−cos2C=√1−‌=‌ From Eq. (i),
z=b[‌| sin‌C−sin‌A |
| sin‌C+sin‌A |
]=b[‌] =b[‌]=‌ If
b=9, then
z=2 and if
b=8, then
z=‌
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