show that (1+1/tan*2a)(1+1/cot*2a)=1/sin*2a-sin*4a
Answers
Answered by
3
Step-by-step explanation:
(1+1/tan²A)(1+1/cot²A)
={1+(cos²A/sin²A)} {1+(sin²A/cos²A)}
={(sin²A+cos²A)/sin²A} {(cos²A+sin²A)/cos²A}
=(1/sin²A)(1/cos²A)
=1/sin²Acos²A
=1/sin²A(1-sin²A)
=1/sin²A-sin⁴A
Similar questions