Tan theta = 1/√5 , find the value of (cosec^2 theta - sec^2 theta) / (cosec^2 theta + sec^2 theta)
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Answer:
2/3
Step-by-step explanation:
tanФ=1/√5
sec²Ф=(1+tan²Ф)
=(1+(1/√5)²)
=(1+1/5)
=6/5
also cotФ=√5 (inverse of tanФ)
cosec²Ф=(1+cot²Ф)
=(1+(√5)²)
=(1+5)
=6
putting the values in the equation,
(6-6/5)/(6+6/5)
=(24/5)/(36/5)
=2/3
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