If `sec^4theta+sec^2theta=10+tan^4theta+tan^2theta", then "sin^2theta=`
If `sec^4theta+sec^2theta=10+tan^4theta+tan^2theta", then "sin^2theta=`
A. `2/3`
B. `3/4`
C. `4/5`
D. `5/6`
6 views
1 Answers
Correct Answer - C
`sec^4theta+sec^2theta=10+tan^4theta+tan^2theta`
`rArrsec^4theta-tan^4theta+sec^4theta-tan^2theta=10`
`rArr sec^2theta+tan^2theta+1=10`
`rArr2sec^2theta=10`
`rArrcos^2theta=1/5`
`rArr sin^2theta=4/5`
6 views
Answered