What is the value of log10 cos log10 sin log10 tan log10 cot log10 sec log10 cosec ........

Quantitative Aptitude (CDS) Trignometry

What is the value of log₁₀(cos $\theta$ ) + log₁₀(sin $\theta$ ) + log₁₀(tan $\theta$ )+log₁₀(cot $\theta$ )+log₁₀(sec $\theta$ )+log₁₀(cosec $\theta$ )

-1

0.5

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Explanation:

log₁₀(cos $\theta$ ) + log₁₀(sin $\theta$ ) + log₁₀(tan $\theta$ )+log₁₀(cot $\theta$ )+log₁₀(sec $\theta$ )+log₁₀(cosec $\theta$ )
= log₁₀(cos $\theta$ .sin $\theta$ .tan $\theta$ .cot $\theta$ .sec $\theta$ .cosec $\theta$ )
=log_{10(1) =0}