Question

coa alpha = -12/13, cot beta = 24/7, find (sin alpha + beta), where alpha, beta lie in second quadrant.​

Answer 1

Step-by-step explanation:

The basic trig functions are defined in a right-angled triangle as:

sin

θ

=

opposite

hypotenuse

cos

θ

=

adjacent

hypotenuse

tan

θ

=

opposite

adjacent

So, as we are given

cos

A

=

5

13

, it means that

in this specific right-angled triangle,

the side adjacent to

A

=

5

and

the hypotenuse

=

13

Using Pythagoras' Theorem.

o

p

p

=

√

13

2

−

5

2

=

12

So now the side opposite

A

is

12

Now we can give the trig ratios as:

sin

A

=

opposite

hypotenuse

=

12

13

cos

A

=

adjacent

hypotenuse

=

5

13

tan

A

=

opposite

adjacent

=

12

5

From these,we can find that

angle

A

=

67.4

°