Question

(sin4-cos4+1)cosec2=2

Answer 1

LHS :

• (sin⁴A - cos⁴A + 1)cosec²A
• [ (sin²A+cos²A)(sin²A-cos²A) + 1 ] × cosec²A. ( using a² - b² =(a+b)(a-b) )
• { 1(sin²A - cos²A) + 1} × cosec²A
• { sin²A - cos²A + sin²A + cos²A } cosec²A. (as sin²θ + cos² θ = 1)
• { 2sin²A } cosec²A
• 2 ( as sinA = 1/cosecA)
• = RHS

Hence proved ..

#answerwithquality

#BAL

Answer 2

Answer:

Step-by-step explanation: