If tan(theta/2) = 2/3 then sec theta = ?a).13/5 b). 3/13 c). 5/13 d). 12/13
If tan(theta/2) = 2/3 then sec theta = ?
a).13/5 b). 3/13 c). 5/13 d). 12/13
keerthi , 7 Years ago
Grade 11
Trigonometry> If tan(theta/2) = 2/3 then sec theta = ? ...
2 Answers
Suraj Kumar
Last Activity: 7 Years ago
Using formula Tan^(theta/2)=(1-cos□)/(1+cos□)where ^=square and □=theta4/9=(1-cos□)/(1-cos□)By cross multiplication We get 13cos□=5Cos□=5/13Sec□=13/5So (a)
Arjun Raj
Last Activity: 5 Years ago
tan(x/2)=2/3. cosx ={1-tan2(x/2)}/{1+tan2(x/2)} . cosx={1-(4/9)}/{1+(4÷9)}. cosx=5/13. ............ secx=13/5
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