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Message: <blockquote data-quote="Aamir" data-source="post: 2049388" data-attributes="member: 536598">1. cos t = 3/4Squaring both sides,cos square t = 9/16=> 1 - sin square t = 9/16sin square t = 1 - 9/16or sin square t = 7/16sin t = (sqrt 7)/4cot t = cos t/sin t=(3/4)/(sqrt 7)/4= 3/(sqrt 7)2. cos (pie/3) = base/hyp=> 0.5 = 12/hyp=> hyp = 12/0.5 = 24 feet3. Taking Left Hand Side,cosec t cos t = 1/sin t * cos t= cos t /sin t= cot t=Right Hand SideHence Provedsin t/cos t + cos t/sin tTaking Left Hand Side= (sin square t + cos square t)/sin t*cos t {Taking LCM}We know sin square t + cos square t = 1, thereforesin t/cos t + cos t/sin t = 1/sin t*cos t=Right Hand SideHence Proved</blockquote>