how to prove cos square + sin square =1
Answers
Answered by
2
Heya
______________________________
Cos² x + Sin² x = 1
PROOF:-
put x equal to any angle suppose x = 45
=>
L.H.S
Cos² 45 + Sin² 45
=>
( 1/√2)² + ( 1/√2)²
=>
( 1/2) + ( 1/2)
=>
2/2
= 1 Hence proved
______________________________
Cos² x + Sin² x = 1
PROOF:-
put x equal to any angle suppose x = 45
=>
L.H.S
Cos² 45 + Sin² 45
=>
( 1/√2)² + ( 1/√2)²
=>
( 1/2) + ( 1/2)
=>
2/2
= 1 Hence proved
Answered by
1
\sin^2A\cos^2B-\cos^2A\sin^2B=\sin^2A-\sin^2B proved.
Step-by-step explanation:
Consider the provided information.
\sin^2A\cos^2B-\cos^2A\sin^2B=\sin^2A-\sin^2B
Consider the LHS.
\sin^2A\cos^2B-\cos^2A\sin^2B
\sin^2A(1-\sin^2B)-(1-\sin^2A)\sin^2B (∴\cos^2x=1-\sin^2x)
\sin^2A-\sin^2A\sin^2B-\sin^2B+\sin^2A\sin^2B
\sin^2A-\sin^2B
Hence, proved.
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