Question

If cosθ = 5/13, find sin θ

Answer 1

Answer link

Step-by-step explanation:

Without further information about the angle

A

, I assume that that angle is in the first quadrant)

sin

A

=

√

1

−

cos

2

A

=

√

1

−

25

169

=

√

169

−

25

169

=

=

√

144

169

=

12

13

,

and

tan

A

=

sin

A

cos

A

=

12

13

5

13

=

12

13

⋅

13

5

=

12

5

.

Answer 2

Answer:

In this way:

(Without further information about the angle

A

, I assume that that angle is in the first quadrant)

sin

A

=

√

1

−

cos

2

A

=

√

1

−

25

169

=

√

169

−

25

169

=

=

√

144

169

=

12

13