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Examples on Trigonometric Specific Ratios

Problems on Trigonometric Ratios
 

Example

Evaluate: sin2 30° cos245° - 2 sec 60° + 5 tan3 45°

Solution

sin2 30° cos2 45° - 2 sec 60° + 5 tan3 45°

By substituting the values of the trigonometric ratios we get,


 

Example

Evaluate
sec2 45° cosec3 30° + 2 tan2 60° - 3 cot 45°

Solution
sec2 45° cosec3 30° + 2 tan2 60° - 3 cot 45°

By substituting the values of the trigonometric ratios we get,

 

 
Example

Evaluate
(sin 90° + cos 60°)3 - sec 45° cosec 45°

Solution

 


 

Example

Verify each of the following
(i) sin 60° = 2 sin 30° cos 30°

 (ii) cos 60° = 2 cos2 30° - 1

Solution

(i)


 

(ii)

 





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