Heights and distances
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Trigonometry:
In a right angled OAB, where BOA = ,

i. sin  =Perpendicular=AB;HypotenuseOB
ii. cos  =Base=OA;HypotenuseOB
iii. tan  =Perpendicular=AB;BaseOA
iv. cosec  =1=OB;sin AB
v. sec  =1=OB;cos OA
vi. cot  =1=OA;tan AB
Trigonometrical Identities:
sin2  + cos2  = 1.
1 + tan2  = sec2 .
1 + cot2  = cosec2 .
Values of T-ratios:
0°(/6)
30°(/4)
45°(/3)
60°(/2)
90°sin 012321cos 132120tan 01313not defined
Angle of Elevation:

Suppose a man from a point O looks up at an object P, placed above the level of his eye. Then, the angle which the line of sight makes with the horizontal through O, is called the angle of elevation of P as seen from O.
 Angle of elevation of P from O = AOP.
Angle of Depression:

Suppose a man from a point O looks down at an object P, placed below the level of his eye, then the angle which the line of sight makes with the horizontal through O, is called the angle of depression of P as seen from O.
Trigonometry:
In a right angled OAB, where BOA = ,

i. sin  =Perpendicular=AB;HypotenuseOB
ii. cos  =Base=OA;HypotenuseOB
iii. tan  =Perpendicular=AB;BaseOA
iv. cosec  =1=OB;sin AB
v. sec  =1=OB;cos OA
vi. cot  =1=OA;tan AB
Trigonometrical Identities:
sin2  + cos2  = 1.
1 + tan2  = sec2 .
1 + cot2  = cosec2 .
Values of T-ratios:
0°(/6)
30°(/4)
45°(/3)
60°(/2)
90°sin 012321cos 132120tan 01313not defined
Angle of Elevation:

Suppose a man from a point O looks up at an object P, placed above the level of his eye. Then, the angle which the line of sight makes with the horizontal through O, is called the angle of elevation of P as seen from O.
 Angle of elevation of P from O = AOP.
Angle of Depression:

Suppose a man from a point O looks down at an object P, placed below the level of his eye, then the angle which the line of sight makes with the horizontal through O, is called the angle of depression of P as seen from O.
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