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Prove that: (cosec p - sin p)(sec p- cos p)(tan p + cot p) = 1 |
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Answer» One upon sin p Yaar anjali tum trigonometry kaisa karte ho .you are a legend .please mujhe bhi sikha do . Taking LHS,(cosec p- sin p)(sec p- cos p)(tan p+cot p)=(1/sin p-sin p)(1/cosp-cos p)(sinp/cos p+cos p/sin p)=(1-sin^2p/sin p)(1-cos^2p/cos p)(sin^2p+cos^2p/sin p×cos p)(Cos^2p/sin p)(sin^2p/cosp)(1/sin p×cos p)=1×1×1=1=RHS=proved =(1/sinp-sinp)(1/cosp-cosp)(sinp/cosp+cosp/sinp)=(1-sin²p/sin)(1-cos²p/cos)(sin²p+cos²p/sinpcosp)=(Cos²p/sinp)(sin²p/cosp)(sin²p+cos²p/sinpcosp)= 1 |
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