Show that if you have three polarizing filters, with the second at an angle of 45o to the first and the third at an angle of 90o to the first, the intensity of light passed by the first will be reduced to 25.0% of its value. (This is in contrast to having only the first and third, which reduces the intensity to zero, so that placing the second between them increases the intensity of the transmitted light.)

Show that if you have three polarizing filters, with the second at an angle of 45o to the first and the third at an angle of 90o to the first, the intensity of light passed by the first will be reduced to 25.0% of its value. (This is in contrast to having only the first and third, which reduces the intensity to zero, so that placing the second between them increases the intensity of the transmitted light.)