Question

Prove that
(cosec2 θ – 1) sin2 θ = cos2 θ

Answer 1

Answer:

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Answer 2

Answer:

SO THE QUESTION IS PROVE THAT (COSEC2 theta -1)  sin2 theta= cos2theta

Step-by-step explanation: so what we want to do is take the most expanded side, and try our best to match it with the other side. Here LHS is the most expanded side....

so,

LHS= (cosec2 theta-1) sin2theta

now cosec can be written as cot2 theta as we know the identity so

=(cot2 theta) sin2 theta

let us expand cot2 theta more

= sin2theta/sin2 theta × sin2 theta/1

sin2 theta and the other sin2 theta get cancelled out leaving us with cos2theta ×1

which is equal to RHS

HOPE THIS IS CLEAR GOOD LUCK ON YOUR EXAMS