21. If $${\text{2cos}}\theta - \sin \theta = \frac{1}{{\sqrt 2 }},$$ $$\left( {{0^ \circ } < \theta < {{90}^ \circ }} \right)$$ the value of $$2\sin \theta $$ + $$\cos \theta $$ is?
22. If sec2θ + tan2θ = 7, then the value of θ when 0° ≤ θ ≤ 90° is?
23. The simplified value of (sec x sec y + tan x tan y)2 - (sec x tan y + tan x sec y)2
24. If A = sin2θ + cos4θ for any value of θ, then the value of A is?
25. In circular measure, the value of the angle 11° 15' is?
26. In a triangle ABC, ∠ABC = 75° and ∠ACB = $$\frac{{{\pi ^c}}}{4},$$ the circular measure of ∠BAC is?
27. If $$\theta $$ be acute angle and $$\cos \theta = \frac{{15}}{{17}}{\text{,}}$$ then the value of $${\text{cot}}\left( {{{90}^ \circ } - \theta } \right)$$ is?
28. If a right-angled triangle XYZ right-angled at Y. If XY = $${\text{2}}\sqrt 6 $$ and XZ - YZ = 2, then secX + tanX is?
29. In ΔABC, ∠B = 90° and AB : BC = 2 : 1, then value of (sinA + cotC) = ?
30. If sin21° = $$\frac{x}{y}{\text{,}}$$ then sec21° - sin69° is equal to?
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