11th questio. If tan theta plus cot theta =2.......
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Theta is written as @
If tan@+cot@=2
Square on both sides,
(Tan@+cot@)²=2²
Tan²@+cot²@+2(tan@*cot@) =4
{Tan@=1/cot@} {then, tan@*cot@=1 as tan@*1/tan@=1}
Tan²@+cot²@+2=4
Tan²@+cot²@=4-2
Tan²@+cot²@=2
If tan@+cot@=2
Square on both sides,
(Tan@+cot@)²=2²
Tan²@+cot²@+2(tan@*cot@) =4
{Tan@=1/cot@} {then, tan@*cot@=1 as tan@*1/tan@=1}
Tan²@+cot²@+2=4
Tan²@+cot²@=4-2
Tan²@+cot²@=2
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