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:

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step-by-step explanation: