Trigonometric ratios of Complementary Angles
Trigonometric ratios of Complementary Angles
Trigonometric ratios of Complementary Angles:
Recall that two angles are said to be complementary if their sum equals . In
, right - angled at B, do you see any pair of complementary angles?
Since they form such a pair, we have:
(1)
Now let us write the trigonometric ratios for .
For convenience, we shall write instead of
.
What would be the side opposite and the side adjacent to the angle
You will find that AB is the side opposite and BC is the side adjacent to the angle . Therefore,
....... (2)
Now, compare the ratios in (1) and (2) , observe that :
Also,
So, ,
,
,
for all values of angle A lying between and
. check whether this holds for
or
.
Example 1: Evaluate
Solution: We know:
So,
i.e,
| |||
| Right Option : A | |||
| View Explanation | |||
Evaluate: | |||
| Right Option : A | |||
| View Explanation | |||
| |||
| Right Option : A | |||
| View Explanation | |||
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