If sin q + cos q = p and sec q + cosec q = q, then prove that
q (p2 – 1) = 2p.
Ritu Kalsi
Answers!
Saksham
March 7, 2025, 10:37 p.m.
(Sec q + cosec q) (sin²p+cos²p+2sinp.cosp-1) =2p
(Sec q + cosec q) (1-1+2sinp.cosp) =2p
(Sec q+ cosec q) (2sinp.cosp) =2p
(1/cos q + 1/sin q) (2sinp.cosp) =2p
Sinp+cosp/sinp.cosp(2sinp.cosp) =2p
2(sinp+cosp) =2p
2p=2p
Comment
Answer the question...
Saksham
(Sec q + cosec q) (sin²p+cos²p+2sinp.cosp-1) =2p
(Sec q + cosec q) (1-1+2sinp.cosp) =2p
(Sec q+ cosec q) (2sinp.cosp) =2p
(1/cos q + 1/sin q) (2sinp.cosp) =2p
Sinp+cosp/sinp.cosp(2sinp.cosp) =2p
2(sinp+cosp) =2p
2p=2p
(Sec q + cosec q) (1-1+2sinp.cosp) =2p
(Sec q+ cosec q) (2sinp.cosp) =2p
(1/cos q + 1/sin q) (2sinp.cosp) =2p
Sinp+cosp/sinp.cosp(2sinp.cosp) =2p
2(sinp+cosp) =2p
2p=2p
Comment
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