Verify the identity.
(5cos θ -2sin θ )²+(2cos θ +5sin θ )²=29
Choose the sequence of steps below that verifies the identity.
A. (5cos θ -2sin θ )²+(2cos θ +5sin θ )²
=25cos²θ -10cos θ sin θ +4sin²θ +4cos²θ +10cos θ sin θ +25sin²θ
=25(cos²θ +sin²θ )+4(cos²θ +sin²θ )=25+4=29
B. (5cos θ -2sin θ )²+(2cos θ +5sin θ )²
=25cos²θ -20cos θ sin θ +4sin²θ +4cos²θ +20cos θ sin θ +25sin²θ
=25(cos²θ +sin²θ )+4(cos²θ +sin²θ )=25+4=29
C. (5cos θ -2sin θ )²+(2cos θ +5sin θ )²
=25cos²θ -4sin²θ +4cos²θ +25sin²θ
=25(cos²θ +sin²θ )+4(cos²θ +sin²θ )=25+4=29