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Given : Sec theta+ tan theta =3 , wheretheta belongs to (0,π/2). Find cos theta

Isha Keshav , 6 Years ago
Grade 11
anser 1 Answers
Arun

Last Activity: 6 Years ago

Dear Isha
 
As we know
sec²@ - tan²@ = 1
(Sec@ + tan@)(sec@ - tan@) = 1
Hence sec@ - tan@ = 1/3
Now
2sec @ = 3 + 1/3 = 10/3
sec @ = 5/3
Hence cos @ = 3/5
In case of any difficulty, please feel free to ask.
Regards
Arun (askIITIans forum expert)

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