What is the value of cosec2 68o sec256o cot2 34o tan2 22o ........

Quantitative Aptitude (CDS) Trignometry

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What is the value of cosec² 68^o + sec²56^o - cot² 34^o- tan² 22^o ?

1/2

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Explanation:

As,
$\theta = 1+\theta$
$=> \theta = 1-\theta..........(i)$ $Also\: cosec^{2}\theta - \theta = 1..............(ii)$
$As,cosec^{2}68^{o}+56^{o}-34^{o}-22^{o}$
$=(90^{o}-68^{o})-22^{o}+cosec^{2}(90^{o}-56^{o})-34^{o}$
$=(22^{o}-22^{o})-cosec^{2}(34^{o}-34^{o})= 1+1$
Hence option(4)