Trigonometric Ratios for 45 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 .
Let be a right - angled at B and let angle A is Now Then, clearly, [ Angle Sum Property] [sides opposite equal angles] Let AB = BC = a units. By the Pythagorean theoram |
Thus, Adjacent = AB = a units, Opposite = BC = a units and hypotenuse AC = a units.
Thus, we have
sin A | cos A | tan A | cosec A | sec A | cot A | |
1 |
Illustration: Simplify the given expression
Solution: To solve this expression we will substitute the value of the ratios at
Solve the following Expression : | |||
Right Option : A | |||
View Explanation |
If then the value of | |||
Right Option : C | |||
View Explanation |
For an actue takes the greatest value when is | |||
Right Option : B | |||
View Explanation |
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