172 GEOMETRY AND TRIGONOMETRY
- 16 secx− 2 =14 tan^2 x
[x= 52 ◦ 56 ′or 307◦ 4 ′] - 4 cot^2 A−6 cosecA+ 6 =0[A= 90 ◦]
- 5 sect+2 tan^2 t= 3
[t= 107 ◦ 50 ′or 252◦ 10 ′]
5. 2.9 cos^2 a−7 sina+ 1 = 0
[a= 27 ◦ 50 ′or 152◦ 10 ′]
6. 3 cosec^2 β= 8 −7 cot[β
β= 60 ◦ 10 ′, 161◦ 1 ′,
240 ◦ 10 ′or 341◦ 1 ′
]