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Summary

1. An identity is satisfied for all the values of the variable.

     (i) sin2 θ + cos2 θ  = 1

     (ii) 1 + tan2 θ = sec2 θ 

     (iii) 1 + cot2 θ cosec2 θ    

2. An equation is satisfied, only for selected values of the variable.

 

3. Trigonometric Ratios of Complementary Angles

     (a) sin (90° - θ) = cos θ  ; cosec (90° - θ) = sec θ 

     (b) cos (90° - θ) = sin θ  ; sec (90° - θ) = cosec θ 

     (c) tan (90° - θ) = cot θ   ; cot (90° - θ) = tan θ  

4. For 0
x 90°
Max. sin
θ = 1, Min. sin θ = 0
Max. cos
θ = 1, Min. cos θ = 0
Max. tan
θ = Not defined, Min. tan θ = 0





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