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यदि `cos theta =(7)/(25)` तो अन्य सभी त्रिकोणमितीय अनुपातों के मान ज्ञात कीजिए ।

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दिया है- `cos theta =(7)/(25)=("आधार")/(" कर्ण") rArr sec theta =(1)/(cos theta)=(25)/(7)`
पाइथागोरस प्रमेय से, `"कर्ण"^(2)=" आधार"^(2)+" लम्ब"^(2)`
`(25)^(2)=(7)^(2)+" लम्ब"^(2)`
`" लम्ब"^(2)=(25)^(2)-(7)^(2)`
`=625-49=576`
लम्ब `=sqrt(576)=24`
इसलिए ` sin theta =("लम्ब")/(" कर्ण")=(24)/(25)" "rArr" cosec" theta =(1)/(sin theta)=(25)/(24)`
`tan theta=(" लम्ब")/(" आधार")=(24)/(7)" "rArr" "cot theta =(1)/(tan theta)=(7)/(24)`
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