Show that tan(x) + cot(x) = 2cosec(2x)
For this we have to use trignometric identities, e.g Tan(x)= sin(x)/cos(x), sin2(x) + cos2(x) = 1, 1/sin(x) = cosec(x)
tan(x) + cot(x) = sin(x)/cos(x) + cos(x)/sin(x) = [sin2(x) + cos2(x)]/sin(x)cos(x) = 1/sin(x)cos(x) ------------------------> Sin(2x) = 2sin(x)cos(x) so sin(x)cos(x) = Sin(2x)/2 = 2/sin(2x) = 2cosec(2x)
MB
Related Maths A Level answers
All answers ▸Differentiate [ x.ln(x)] with respect to x
Find the value of (cos(x) + sec(x))^2 with respect to x when evauated between pi/4 and 0
How do I find the stationary points of a curve?
Find all the stationary points of the curve: y = (2/3)x^3 – (1/2)x^2 – 3x + 7/6 and determine their classifications.