Itseca SECA 2 sin A I-COSA
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Ans. Is 4/5
TanA+SecA=2
SecA=2-TanA
1/cosA=2-tanA
1=2cosA-tanA×cosA
1=2cosA-sinA
1+sinA=2cosA =>(1+sinA)=2cosA ——— eq.1
Sq. Both sides of eq.1 , we get
(1+sin^2A+2sinA)=4cos^2A
(1+1-cos^2A+2sinA)=4cos^2A
2+2sinA=5cos^2A
Dividing while eq by 2 , we get
1+sinA=5/2cos^2A ————eq.2
From eqs. 1 and 2 , we get
2cosA=5/2cos^2A
4/5=cosA
Hence, cosA=4/5
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