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. If 2Tanα = 3Tanβ, then show that Tan(α-β) = Sin2β/(5-Cos2β)
Soln:
2tanα=3tanβ
tanα=(3/2)tanβ
L.H.S.
= tan(α-β)
= (tanα-tanβ)/(1+tanα.tanβ)
= {(3/2)tanβ-tanβ}/{1+(3/2)tanβ.tanβ}
= ... Q. Prove that: 8cos(pi/7).sin(3*pi/14).sin(pi/14) = 1
Soln:
... 
If vector a and vector b are unit vectors and theta is the angle between them, then prove that: 1/2|vector a - vector b| = sin (theta/2).
Soln:
... 11. Find the number of geometric means inserted between 1 and 243 in which the ratio of the first mean to the last mean is 1:27.
Soln:
... 
Solve: tan(theta)+tan2(theta)+root3tan(theta)tan2(theta) = root(3) [ 0 degree <= theta <=360 degree]
Soln:
... A complete solution for SEE students.
