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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