Tan theta =3 theta lies in third quadrant then the value of sec theta ?
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tan theta =3
we know the formula of tan theta = opposite side/adjacent side
so here 3=opposite side
and 1=adjacent side
we know the identity
sec²theta-tan²theta=1
sec²theta=1+tan²theta
sec² theta=1+9
sec theta =√10
then sec theta =-√10
we know the formula of tan theta = opposite side/adjacent side
so here 3=opposite side
and 1=adjacent side
we know the identity
sec²theta-tan²theta=1
sec²theta=1+tan²theta
sec² theta=1+9
sec theta =√10
then sec theta =-√10
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