1.2. Prove the following the trigonometric identity step-by-step
1.2.1 sin theta/sin theta+cos theta=tan theta/1+tan theta

The identity is proved below.

Step-by-step explanation:

The tangent of an angle is given by:

In this question, we are given the following trigonometric identity:

Applying the tangent

Now, we apply the least common multiple on the denominator. So

SImplifying the cosine:

Which means that the identity is proved.

ou would have 12 of each

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.