Question

prove that sin²A/cos²A + cos²A/sin²A= 1/sin²A cos²A -2​

Answer 1

Answer:

here is the ans

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tan⁴a-tan²a=1

tan⁴a-tan²a can be also written as

sin⁴a-sin²a/cos⁴a-cos²a

1/( cos²a)²-cos²

1/(1-sin²a)²-(1-sin²a)

now using identity (a+b)² as a² +b²+2ab

we get

1/sin⁴a-sin²a

1/1= 1

LHS=RHS

hence proved

THANKS

Step-by-step explanation: