1.

If `4 sin^(2)_(theta)-1=0` and angle `theta` is less than `90^(@)`. The value of `cos^(2)_(theta)+tan^(2)_(theta)` is(यदि `4 sin^(2)_(theta)-1=0` और कोण `theta lt 90^(@)` से काम है तो `cos^(2)_(theta)+tan^(2)_(theta)` का मान क्या होगा)A. `(13)/(12)`B. `(12)/(11)`C. `(11)/(9)`D. `(17)/(15)`

Answer» Correct Answer - a
`(x-xtan^(2)30^(@))/(1+tan^(2)30^(@))`
`=sin^(2)30^(@)+4cot^(2)45^(@)-sec^(2)60^(@)`
`(x(1-tan^(2)30^(@)))/(1+tan^(2)30^(@))=((1)/(2))^(2)+4xx1-(2)^(2)`
`rArr(3)/(4)+(1)/(3)rArr(13)/(12)`


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