<transcript><audio_41>tan here tan omega by two here and how can we get a tan omega by two by dividing sine omega by two by cos omega by two so let's do that and in fact once we allow for that division we are also likely to do away with this trouble so we will be</transcript><caption><image_42>The image is a whiteboard with a mathematical equation written on it. The equation is written in black ink and is written on a piece of paper. The paper is white and the text is black. On the top right corner of the image, there is a logo of the Indian government, which is a shield with a blue background and a white border. Below the logo, there are two lines of text written in Hindi. The text reads "We should try to get" and "We have to get". The image appears to be a screenshot from a video or a presentation.</caption><video><caption><image_43>The image shows a hand holding a black marker and writing on a whiteboard. The hand is positioned in a way that it appears to be writing on the whiteboard with the marker. The background is plain white and there is a logo of the Indian government on the top right corner of the image. Below the logo, there is text that reads "CDEEP IT Bombay" and "NPTEL". The image appears to have been taken in a room with a white wall.</caption><caption><image_44>The image shows a hand holding a black marker and writing on a whiteboard. The hand is positioned in a way that the fingers are slightly curled around the edge of the board. The background is plain white and there is a logo of the Indian government on the top right corner. On the bottom right corner, there is text that reads "CDEEP IT Bombay" and a logo for the company. The image appears to be a screenshot from a video or a presentation.</caption></video><transcript><audio_45>killing two birds with one stone in the proverbial sense not literally indeed to get tan omega by two you know what you are saying is you want j tan omega by two and j tan omega by 2</transcript><video><caption><image_46>The image shows a person's hand holding a pen and writing on a whiteboard. The whiteboard is white and the text is written in black ink. On the right side of the image, there is a logo of the company "CDEEP IT Bombay" and on the left side, there are two lines of text that appear to be mathematical equations. The equations are written in a neat and organized manner. The person is writing on the whiteboard with the pen, and their hand is visible in the bottom right corner.</caption><caption><image_47>The image shows a person's hand holding a pen and writing on a whiteboard. The whiteboard has a logo of the Indian government on the top right corner and the text "CDEEP" on the bottom right corner. The text on the whiteboard is written in black ink and appears to be a mathematical equation. The equation is written on a piece of paper with a black marker. The background is blurred, but it seems like the person is focused on the task at hand.</caption><caption><image_48>The image shows a person's hand holding a black marker and writing on a whiteboard. The text written on the whiteboard is written in black ink and appears to be mathematical equations. The equations are written in a neat and organized manner, with the letters and numbers clearly visible. The background of the image is blurred, but it seems like the person is focused on the task at hand. On the top right corner, there is a logo of the Indian government, which is a shield with a coat of arms and the words "CDEEP IT Bombay" written on it.</caption><caption><image_49>The image shows a person's hand holding a pen and writing on a whiteboard. The whiteboard is white and the text is written in black ink. The text appears to be a mathematical equation or equation written in a neat and cursive style. The equation is written on a piece of paper with a black marker. The background is blurred, but it seems like the person is focused on the task at hand. On the top right corner of the image, there is a logo of the Indian Institute of Technology and the words "CDEEP Hit Bombay" written in Hindi.</caption></video><transcript><audio_50>can be written as 2 j sine omega by 2 by 2 cos omega by 2 and nothing stops you from multiplying by e raised to the power</transcript><transcript><audio_51>minus j omega by 2 in the numerator and the denominator and in fact there we this is nothing but 1 minus e raised to</transcript> tan here tan omega by two here and how can we get a tan omega by two by dividing sine omega by two by cos omega by two so let's do that and in fact once we allow for that division we are also likely to do away with this trouble so we will be killing two birds with one stone in the proverbial sense not literally indeed to get tan omega by two you know what you are saying is you want j tan omega by two and j tan omega by 2 can be written as 2 j sine omega by 2 by 2 cos omega by 2 and nothing stops you from multiplying by e raised to the power minus j omega by 2 in the numerator and the denominator and in fact there we this is nothing but 1 minus e raised to
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