sec square theta +cosec squre theta =Sec square theta. cosec square theta
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Answered by
4
Hey !!!
from LHS
Sec²¢ + cosec²¢
= 1/ cos²¢ + 1/sin²¢
•°• We know that sec²¢ = 1/cos²¢ and cosec²¢ = 1/sin²¢
= sin²¢ + cos²¢ / cos²¢ × sin²¢ .
but ,sin²¢ + cos²¢ = 1
since ,
= 1 / cos²¢ × sin²¢
= sec²¢ × cosec²¢ RHS prooved !!!
_______________________
Hope it helps you !!!
@Rajukumar111
from LHS
Sec²¢ + cosec²¢
= 1/ cos²¢ + 1/sin²¢
•°• We know that sec²¢ = 1/cos²¢ and cosec²¢ = 1/sin²¢
= sin²¢ + cos²¢ / cos²¢ × sin²¢ .
but ,sin²¢ + cos²¢ = 1
since ,
= 1 / cos²¢ × sin²¢
= sec²¢ × cosec²¢ RHS prooved !!!
_______________________
Hope it helps you !!!
@Rajukumar111
Answered by
0
Answer:
Step-by-step explanation:
Sec²¢ + cosec²¢
= 1/ cos²¢ + 1/sin²¢
•°• We know that sec²¢ = 1/cos²¢ and cosec²¢ = 1/sin²¢
= sin²¢ + cos²¢ / cos²¢ × sin²¢ .
but ,sin²¢ + cos²¢ = 1
since ,
= 1 / cos²¢ × sin²¢
= sec²¢ × cosec²¢ RHS prooved !
hope you understand.
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