For the following two (02) items: Let p = cosec , 20° and q = cosec , 70° . What is p^2 + q^2 p^2 q^2 equal to?

Step-by-step solution

Given p = cosec , 20^ and q = cosec , 70^ . The given expression is p^2 + q^2 p^2 q^2 . This can be rewritten as 1 q^2 + 1 p^2 . Substituting the values of p and q : 1 cosec ^2 70^ + 1 cosec ^2 20^ = ^2 70^ + ^2 20^ Since 70^ = (90^ - 20^ ) = 20^ , we get: = ^2 20^ + ^2 20^ = 1 Answer: 1