Math, asked by Anonymous, 7 months ago

Tan theta = 1/√5 , find the value of (cosec^2 theta - sec^2 theta) / (cosec^2 theta + sec^2 theta)

Answers

Answered by sunainasingh074
0

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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