41. $$\frac{{{\text{cos }}\alpha }}{{{\text{sin }}\beta }} = n$$ and $$\frac{{{\text{cos }}\alpha }}{{{\text{cos }}\beta }} = m,$$ then the value of $${\text{co}}{{\text{s}}^2}\beta $$ is?
42. If tanθ + cotθ = 5, then tan2θ + cot2θ is?
43. If tanA = n tanB and sinA = m sinB, then the value of cos2A = ?
44. The value of tan 4°.tan 43°.tan 47°.tan 86° is?
45. The value of tan 1°.tan 2°.tan 3° ............. tan 89° is?
46. The value of cot 10°.cot 20°.cot 60°.cot 70°.cot 80° is?
47. The value of cot 18° $$\left( {{\text{cot 7}}{{\text{2}}^ \circ }{\text{.co}}{{\text{s}}^2}{{22}^ \circ } + \frac{1}{{{\text{tan 7}}{{\text{2}}^ \circ }.{\text{se}}{{\text{c}}^2}{{68}^ \circ }}}} \right)$$ is?
48. If x, y are acute angles, 0 < x + y < 90° and sin(2x - 20°) = cos(2y + 20°), then the value of tan(x + y) is?
49. sin25° + sin26° + ............. sin284° + sin285° = ?
50. sin25° + sin210° + sin215° + ...... sin285° + sin290° is equal to?
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