Please help me 20 points Where does the Pythagorean Identity sin2 Θ + cos2 Θ = 1 come from? Given the Cos Θ = 4/5, how would you use it to find the sine and tangent values of the angle? Explain.

Step-by-step explanation:

Kindly refer to the attached image of a right angled .

Let

Sides BC = a

AB = c and

AC = b respectively.

To prove:

Proof:

Using Sine and Cosine values:

As per Pythagorean theorem:

Considering the LHS of :

Now, using equation (1):

Hence, proved that :

Now, we are given that:

To find, sine and cosine values of the angle i.e. and

Using :

We know that:

36/60

36/2=18

60/2=30

18/30

18/3=6

30/3=10

6/10

6/2=3

10/2=5

your final answer would be 3/5 of an

hope this !

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47