
Find the value of .
A)
B)
C)
D)
Answer
537.6k+ views
Hint: Draw a unit circle and chart out the trigonometric values on each quadrant of the circle. Find the value of or the value of can be taken from the trigonometric table. Find either sine function or cosine function.
Complete step-by-step answer:
By using a unit circle we can find the value of . Now let us draw a cartesian plane with and .
Let us draw the trigonometric table as well:
Now let us mark their values in the unit circle.
Here, .
Eg: -
.
In the first quadrant, the values of and are positive.
In the second quadrant, the value of is negative and is positive.
In the third quadrant, both are negative.
In the fourth quadrant, is positive and is negative.
By looking into the figure, you can find that .
i.e.
Or if we are directly taking value from the trigonometric table, we need to find the value of by using other angles of sin functions such as and .
We know that .
We also know that the trigonometric identity:
.
Put, .
From the trigonometric table, find the value of .
Value of
Option (a) is the correct answer.
Note:
We can also find the value of by using cosine function.
Using the trigonometry formula,
Thus to find the values of , put
as,
From trigonometric table, value of
.
Complete step-by-step answer:
By using a unit circle we can find the value of
Let us draw the trigonometric table as well:
sin | cos | tan | cot | sec | Cosec | |
0 | 0 | 1 | 0 | N.A | 1 | N.A |
30 | 2 | |||||
45 | 1 | 1 | ||||
60 | 2 | |||||
90 | 1 | 0 | N.A | 0 | N.A | 1 |
Now let us mark their values in the unit circle.

Here,
Eg: -
In the first quadrant, the values of
In the second quadrant, the value of
In the third quadrant, both are negative.
In the fourth quadrant,
By looking into the figure, you can find that
i.e.
Or if we are directly taking value from the trigonometric table, we need to find the value of
We know that
We also know that the trigonometric identity:
Put,
From the trigonometric table, find the value of
Note:
We can also find the value of
Using the trigonometry formula,
Thus to find the values of
as,
From trigonometric table, value of
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