Trigonometric ratios for 60 degrees
Trigonometric ratios for 60 degrees
Trigonometric Ratios for 60 Degrees: Value for the Trigonometrical Ratios for certain angle such as ,
,
and
are commonly called standard angles and the trigonometrical ratios of these angles are frequently used to solve particular angles. In this section we will derive the value of trigonometric ratios for
.
 | Consider an equilateral We know that each angle of As AD is the median also therefore D is the mid - point of BC, As BC = 2a units BD = DC = a units Also, and Therefore in triangle ABD |
Now is a right angled triangle so by pythagorous theorem
Substituting the value of AB and BD
In right we have
Thus, we have
| sin A | cos A | tan A | cosec A | sec A | cot A | |
| 2 |
Illustration: Simplify the given expression
Solution: To solve this expression we will substitute the value of the ratios at
| |||
| Right Option : C | |||
| View Explanation | |||
Solve the following expression : | |||
| Right Option : B | |||
| View Explanation | |||
If | |||
| Right Option : D | |||
| View Explanation | |||
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