51. Find the value of sin225° + sin265° + coses257° - tan233° = ?
52. If $$6{\sin ^4}\theta + 3{\cos ^4}\theta = 2{\text{,}}$$ then the value of $${\left[ {7{{\operatorname{cosec} }^6}\theta + 8{{\sec }^6}\theta } \right]^{\frac{1}{3}}}$$ is?
53. $$\frac{{2\sin \theta }}{{\cos \theta \left( {1 + {\text{ta}}{{\text{n}}^2}\theta } \right)}}$$ simplifies to?
54. If $$\tan \theta = \frac{3}{4}{\text{,}}$$ find the value of $${\text{cos2}}\theta $$ ?
55. The value of $$\frac{{{\text{sin 6}}{5^ \circ }}}{{\cos {{25}^ \circ }}}$$ is?
56. Find the value of, 8cos10°. cos20°. cos40° = ?
57. The value of $${\text{se}}{{\text{c}}^2}{17^ \circ }$$ - $$\frac{1}{{{\text{ta}}{{\text{n}}^2}{{73}^ \circ }}}$$ - $$\sin {17^ \circ }$$ $$\sec {73^ \circ }$$ is?
58. The value of coses260° + sec260° - cot260° + tan230° will be?
59. In a ΔABC, if 4∠A = 3∠B = 12∠C, find ∠A?
60. If θ is a acute angle and sin(θ + 18°) = $$\frac{1}{2}{\text{,}}$$ then the value of θ in circular measure is?
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