1 - sin245/(1 + sin245} + tan245° এর মান কত?
Solution
Correct Answer: Option C
প্রদত্ত রাশি = {(1 - sin245°)/(1 + sin245°)} + tan245°
= {1 - (1/√2)2}/{1 + (1/√2)2} + (1)2 [∴ sin 45° = 1/√2 ও tan 45° = 1]
= {1 - (1/2)}/{1 + (1/2)} + 1
= {(2 - 1)/2}/{(2 + 1)/2} + 1
= (1/2)/(3/2) + 1
= (1/3) + 1
= (1 + 3)/3
= 4/3
= {1 - (1/√2)2}/{1 + (1/√2)2} + (1)2 [∴ sin 45° = 1/√2 ও tan 45° = 1]
= {1 - (1/2)}/{1 + (1/2)} + 1
= {(2 - 1)/2}/{(2 + 1)/2} + 1
= (1/2)/(3/2) + 1
= (1/3) + 1
= (1 + 3)/3
= 4/3
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