Reciprocal Trigonometric Ratios
Reciprocal Trigonometric Ratios
Reciprocal Trignometric Ratios: These are the trigonometric ratios which are the reciprocal of the three ratios sin A, cos A and tan A. The ratios are cosec A, sec A and cot A are respectively, the reciprocals of the ratios sin A,cos A and tan A. For a right triangle ABC right angled at B we observe that
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Illustration: ABC is a right angled triangle. If AB = 21 cm, BC = 20 cm and CA = 29 cm and .
Solution: As per definition we know that |  |
Illustration: Simplify the expression
Solution: To simplify the expression we will convert the ratios in terms of sin and cos.
Illustration: If find the value of
Solution:
We know
We draw a right triangle, with right angle at C and having base BC = pk and hypotenuse BA = qk.
By the pythagorean theorem
Thus,
ABC is a right angled triangle.If AB = 21cm, BC= 20cm and CA = 29cm and | |||
| Right Option : D | |||
| View Explanation | |||
In figure, | |||
| Right Option : C | |||
| View Explanation | |||
Find the value of | |||
| Right Option : B | |||
| View Explanation | |||
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