Q. Prove that : tan20 + 4sin20 = root 3
S.E.E. Solution
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Soln: L.H.S. = tan20 + 4sin20 = sin20/cos20 + 4sin20 = (sin20 + 4sin20.cos20)/(cos20) = (sin20 + 2sin40)/cos20 = [sin20 + 2sin...
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Q. The inverse of the function f(x)=ax+b, x∈R is f-1(x)=8x-3.
Soln:
Here, f(x) = ax + b
Let y be the image of x under f, then
y = ax + b
x = (y-b)/a
Interchanging the role of x and y ... Q. Prove the following: 1+3cos(theta)-4cos^3(theta)/1-cos(theta) = (1+2cos(theta))^2
Soln:
... Prove that: (sin3Acos2A-cos3ASin2A)/(cos3Acos2A+sin3Asin2A) = TanA
L.H.S
=(sin3Acos2A-cos3ASin2A)/(cos3Acos2A+sin3Asin2A)
=(sin(3A-2A))/(cos(3A-2A)
=sinA/cosA
=tanA
... Q. At the foot of the mountain, the elevation of its summit is 45 degree. After going up at a distance of 1km towards the top of the mountain at an angle of 30 degree, the elevation changes to 60 degree. Find the height of the mounatain.
Soln:
... Prove that: (2cosA + 1)(2cosA - 1)(2cos2A - 1) = 2cos4A + 1
Soln:
... A complete solution for SEE students.
