11.
If θ be a positive acute angle satisfying cos2θ + cos4θ = 1, then the value of tan2θ + tan4θ is?

12.
If $${\text{tan}}\theta = \frac{4}{3}{\text{,}}$$   then the value of $$\frac{{3\sin \theta + 2{\text{cos}}\theta }}{{3\sin \theta - 2{\text{cos}}\theta }}$$   is?

13.
The simplified value of (secA - cosA)2 + (cosecA - sinA)2 - (cotA - tanA)2

14.
The angles of a triangle are (x + 5)°, (2x - 3)° and (3x + 4)°. Then the value of x is?

15.
The expression $$\frac{{\tan {{57}^ \circ } + \cot {{37}^ \circ }}}{{\tan {{33}^ \circ } + \cot {{53}^ \circ }}}$$    is equal to?

16.
The value of $$\frac{{\cot {{30}^ \circ } - \cot {{75}^ \circ }}}{{\tan {{15}^ \circ } - \tan {{60}^ \circ }}}$$    is?

17.
If $${\text{se}}{{\text{c}}^2}\theta + {\text{ta}}{{\text{n}}^2}\theta = \frac{7}{{12}}{\text{,}}$$     then $${\text{se}}{{\text{c}}^4}\theta $$  - $${\text{ta}}{{\text{n}}^4}\theta $$   = ?

18.
The numerical value of $$\frac{5}{{{\text{se}}{{\text{c}}^2}\theta }}$$  + $$\frac{2}{{1 + {\text{co}}{{\text{t}}^2}\theta }}$$  + $${\text{3}}{\sin ^2}\theta $$   is?

19.
The numerical value of $$\left( {\frac{1}{{\cos \theta }} + \frac{1}{{\cot \theta }}} \right)$$   $$\left( {\frac{1}{{\cos \theta }} - \frac{1}{{\cot \theta }}} \right)$$   is?

20.
The value of cos1° cos2° cos3° ............. cos177° cos178° cos179° is?

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