If 0° < θ < 90°, the value of [(1 - sin2θ) sec2θ + tan2θ] cos2θ + 1 is?
1). 2
2). >2
3). ≥2
4). <2
[(1 - sin2θ) sec2θ + tan2 θ] cos2 θ + 1
= [cos2θ.sec2θ + tan2θ] cos2θ + 1
= (1 + tan2θ) cos2θ + 1
= sec2θ.cos2θ + 1
= 1 + 1 = 22. The simplified value of $(sec x sec y + tan x tan y)^{2} - (sec x tan y + tan x sec y)^{2}$ is :
3. If 5(sin A cos3 A + sin3 A cos A)3 – 2 sin3 A cos3 A = x sin3 2A, find the value of x.
4. If $Cosec \theta $ = $\frac{25}{7}$ , then what is the value of $Cos \theta $?
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8. The value of cos1° sin89° + cos2° sin88° + cos3° sin87° + …. + cos89° sin1°, is