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. Find common difference and first term of an A.S if the sum of the first 6 terms and 9 terms are 183 & 369 respectively.
Soln:
Here,
Sum of the first 6 terms (S6) = 183
Sum of the first 9 terms (S6) = 369
Common difference (d) = ?
First T ... Prove that: (2cosA + 1)(2cosA - 1)(2cos2A - 1) = 2cos4A + 1
Soln:
... Q. Find the point which divides the line joining the points (1,-2) and (3,2) in the ratio 1:3.
Soln:
Note: If internal division or external division is not mentioned in question, by default, the problem should be solved ... Q. Prove that: (cos40 – sin40)/(cos40 + sin40) = tan5
Soln:
RHS
= tan5
= tan(45 – 40) ... Q. Prove that: cos(theta)-sqrt(1+sin2(theta))/sin(theta)-sqrt(1+sin2(theta) = tan(theta)
Soln:
... A complete solution for SEE students.
