Q. 8cos^3(20) - 8sin^3(10) - 6cos20 + 6sin10 = 2
S.E.E. Solution
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Soln: L.H.S. = 8cos 3 20 – 8sin 3 10 – 6cos20 + 6sin10 = 2(4cos 3 20 – 4sinn 3 10 – 3cos20 + 3sin10) = 2(4cos 3 20 - 3cos20 +...
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Q. Find the angle between the lines represented by the equation (x^2 + y^2)sin^2a = (xcosa – ysina)^2.
Soln:
(x^2 + y^2)sin2a = (xcosa – ysina)^2
x2sin2a + y2sin2a
= x2cos2a – 2xycosa.sina + y2sin2a
(sin2a – cos2a)x2
+ 2x ... Q. Determine the equation of the line the portion of which, intercepted by the axes, is divided by the point (-5,4) in the ratio 1:2.
Soln:
We know that the point (-5,4) divides the line in the ratio m:n = 1:2
Let the line through the point (-5,4) meets x-axis ... Q. Prove that: 2tan50 + tan20 = cot20
Sometimes this question can be asked like this:
Prove that: 2tan50 + tan20 = tan70
For now, we have to prove:
Prove that: 2t ... Q. There are n GM's between 1/25 and 25. if the ratio of first mean to third mean is 1:25.find n.
Soln:
here,
no. of GM's (n) = ?
first term (a) =1/25
last term (b) =25
first mean/third mean = 1/25
we have,
common ratio ... Prove that: (2cosA + 1)(2cosA - 1)(2cos2A - 1) = 2cos4A + 1
Soln:
... A complete solution for SEE students.
