sin(x)/(cos(x)+1) + cos(x)/(sin(x)+1) = 1
sin^2(x) + sin(x) + cos^2(x) + cos(x) = cos(x)sin(x) + cos(x) + sin(x) +1
(sin^2(x) + cos^2(x) =1) Therefore;
1 +sin(x) + cos(x) = cos(x)sin(x) + sin(x) +cos(x) +1
Cancelling out on both sides
cos(x)sin(x) = 0
Solution: cos(x)=0 x=pi/2 + kpi sin(x)=0 x= 0+ kpi
JO
Related Maths A Level answers
All answers ▸The curve C has equation ye^(-2x) = 2x + y^2. Find dy/dx in terms of x and y.
Consider the functions f and g where f (x) = 3x − 5 and g (x) = x − 2 . (a) Find the inverse function, f^−1 . (b) Given that g^−1(x) = x + 2 , find (g^−1 o f )(x) . (c) Given also that (f^−1 o g)(x) = (x + 3)/3 , solve (f^−1 o g)(x) = (g^−1 o f)(x)
express (1+4(root7)) / (5+2(root7)) as a+b(root7), where a and b are integers
Find dy/dx if y= sinx/2x+1