find the value??????????
Answers
Answer:
cot^2θ - 1 / sin^2θ = - 1
Step-by-step explanation:
Given cot^2θ - 1/sin^2θ
cos^2θ - 1
= -------- --------
sin^2θ sin^2θ
= cos^2θ - 1
--------------------
sin^2θ
= - ( 1 - cos^2θ )
-------------------
sin^2θ
= - ( sin^2θ )
----------------
sin^2θ
= - 1 ( since sin^2θ gets canceled )
.. ( 2 mark )
( Or )
Given that,
cot^2θ - 1 / sin^2θ
= cot^2θ - cosec^2θ ( since 1 / sin^2θ = cosec^2θ )
= -1
.. ( 1 mark )
Answer:
cot^2thita - cosec^2 thita
cot^2-(cot^2+1)
cot^2-cot^2-1
= -1