in the given figure ab is equal to 3 cm BC is equal to 4 cm find the value of cosec square theta minus cot square theta
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Step-by-step solution:
Given:
AB = 3 cm
BC = 4 cm
To find:
Value of cosec^2 theta - cot^2 theta
Solution:
tan theta = AB/BC
= 3/4
hence, cot^2 theta = (4/3)^2
= 16/9
Now, we apply Pythagorean theorem to this triangle and we get AC to be 5 cm.
hence, cosec theta = AC/AB
= 5/3
cosec^2 theta = (5/3)^2
= 25/9
Now,
the value of cosec^2 theta - cot^2 theta:
= 16/9 - 25/9
= 16 - 25/9
= -9/9
= -1
Hope it helps you bro.
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