Question

From the figure, then sinθcosθ=

​

Answer 1

Answer:

We know that in a right angled triangle,

sinθ is equal to opposite side over hypotenuse that is sinθ=

Hypotenuse

Oppositeside

and

cosθ is equal to adjacent side over hypotenuse that is cosθ=

Hypotenuse

Adjacentside

Here, in the given figure, opposite side AB=10, adjacent side BC=24 and the hypotenuse AC=26, therefore, sinθ and cosθ can be determined as follows:

sinθ=

Hypotenuse

Oppositeside

=

AC

AB

=

26

10

=

13

5

cosθ=

Hypotenuse

Adjacentside

=

AC

BC

=

26

24

=

13

12

Hence, sinθ=

13

5

and cosθ=

13

12