1.
The value of the expression: sin21° + sin211° + sin221° + sin231° + sin241° + sin245° + sin249° + sin259° + sin269° + sin279° + sin289° is?

2.
If cos20° = m and cos70° =n, then the value of m2 + n2 is?

3.
If $${\text{sin}}\left( {{{90}^ \circ } - \theta } \right)$$   + $${\text{cos}}\theta $$  = $$\sqrt 2 {\text{cos}}\left( {{{90}^ \circ } - \theta } \right){\text{,}}$$    then the value of $${\text{cosec}}\theta $$   is?

4.
If $${\text{sin A}} - \cos {\text{A}}$$   = $$\frac{{\sqrt 3 - 1}}{2}{\text{,}}$$   then the value of $${\text{sin A}}.{\text{cosA}}$$   is?

5.
If $$\frac{{{{\sec }^2}{{70}^ \circ } - {\text{co}}{{\text{t}}^2}{{20}^ \circ }}}{{2\left( {{\text{cose}}{{\text{c}}^2}{{59}^ \circ } - {{\tan }^2}{{31}^ \circ }} \right)}}$$     = $$\frac{2}{m}{\text{,}}$$  then m is equal to?

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