If sinx=4/5 and x is in quadrant 2, then tan2x= -12/7 24/7 -24/7 12/7

Hence, the value of tan2x is:

                            24/7

Step-by-step explanation:

We are given sine trignometric ratio as:

Aklso the angle ''x'' lie in the second quadrant.

As we know that the trignometric ratios which are positive in second quadrant are:

Sine(sin) and cosecant(csc)

whereas the other trignometric ratio's i.e. cosine(cos),secant(sec),cotangent(cot),tangent(tan) are all negative in second quadrant.

We know that the sine trignometric function is the ratio of perpendicular to hypotenuse of a right angled triangle corresponding to angle 'x'.

i.e. Let P=4 and H=5

As we know that in a right triangle we have:

Also as we know,

(The value is negative as tangent is negative in second quadrant)

Also, we are asked to find the value of:

We know that:

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.