Question

I 2cos30°-13. find the value of A. and also find sin30"tan 30degree​

Answer 1

Answer:

We start by defining sine and cosine.

sin

θ

=

opposite

hypotenuse

and

cos

θ

=

adjacent

hypotenuse

. We use the special triangle above to apply the ratio to the given angles.

30

˚

is opposite the side measuring

1

and adjacent the side measuring

√

3

. The triangle has a hypotenuse of

2

.

So,

sin

30

˚

=

1

2

and

cos

30

˚

=

√

3

2

.

We can now calculate the value of

(

sin

30

)

2

+

(

cos

30

)

2

.

(

sin

30

˚

)

2

+

(

cos

30

˚

)

2

=

(

1

2

)

2

+

(

√

3

2

)

2

=

1

4

+

3

4

=

4

4

=

1

Note that we could also have used the pythagorean identity

sin

2

θ

+

cos

2

θ

=

1

to solve this problem.

Hopefully this helps!