Question

pls ans me the prove that

Answer 1

HELLO DEAR,

------------------------(1)----------------------------

cos²theta(1+tan²theta) + sin²theta(1+cot²theta)

=> cos²theta + cos²theta× sin²theta/cos²theta + sin²theta + sin²theta×cos²theta/sin²theta

=> (sin²theta + cos²theta) + (sin²theta + cos²theta)

=> 1 + 1

=> 2

------------------------(2)-----------------------

sec²theta - cosec²theta

=> (1 + tan²theta) - (1 + cot²theta)

=> 1 +tan²theta - 1 - cot²theta

=> (tan²theta - cot²theta)

-------------(3)-------------------

(sectheta + costheta) (sectheta - costheta)

=> sec²theta - cos²theta

=> (1+tan²theta) - (1-sin²theta)

=> 1 + tan²theta - 1 + sin²theta

=> tan²theta + sin²theta

I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

Answer:

Cot²theta-1/sin²theta