Cos-38o-cosec-52o-tan-18o-tan-35o-tan-60o-tan-72o-tan-55o - - a -3 b 1-3 c 1-3 d 2-3

Cos 38^o cosec 52^o/tan 18^o tan 35^o tan 60^o tan 72^o tan 55^o =cos(90 52)^ocosec52^o/ tan(90 72)^otan(90 55)^o tan60^otan72^otan55 ^o =sin52^ocosec52^o/cot ...

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Standard X

Mathematics

Complementary Trigonometric Ratios

cos 38o cosec...

Question

$\frac{c o s 38^{o} c o s e c 52^{o}}{t a n 18^{o} t a n 35^{o} t a n 60^{o} t a n 72^{o} t a n 55^{o}}$ = ?

(a) $\sqrt{3}$ (b) $\frac{1}{3}$ (c) $\frac{1}{\sqrt{3}}$ (d) $\frac{2}{\sqrt{3}}$

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Solution

$\frac{c o s 38^{o} c o s e c 52^{o}}{t a n 18^{o} t a n 35^{o} t a n 60^{o} t a n 72^{o} t a n 55^{o}}$

$= \frac{c o s (90 - 52)^{o} c o s e c 52^{o}}{t a n (90 - 72)^{o} t a n (90 - 55)^{o} t a n 60^{o} t a n 72^{o} t a n 55^{o}}$

$= \frac{s i n 52^{o} c o s e c 52^{o}}{c o t 72^{o} c o t 55^{o} t a n 60^{o} t a n 72^{o} t a n 55^{o}}$

$= \frac{1}{t a n 60^{o}}$

$\frac{1}{\sqrt{3}}$

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Similar questions

(\frac{\cos 38 ° cosec 52 °}{\tan 18 ° \tan 35 ° \tan 60 ° \tan 72 ° \tan 55 °}) = ?

(a)

\frac{1}{3}

(b)

\frac{1}{\sqrt{3}}

(c)

\sqrt{3}

(d)

\frac{2}{\sqrt{3}}

Find the value of $\frac{c o s 38^{o} c o s e c 52^{o}}{t a n 18^{o} t a n 35^{o} t a n 60^{o} t a n 72^{o} t a n 55^{o}}$

Find the value of \frac{\cos 38 ° cosec 52 °}{\tan 18 ° \tan 35 ° \tan 60 ° \tan 72 ° \tan 55 °} .

\frac{\cos 38 ° cosec 52 °}{\tan 18 ° \tan 35 ° \tan 60 ° \tan 72 ° \tan 55 °} = ?

(a)

\sqrt{3}

(b)

\frac{1}{3}

(c)

\frac{1}{\sqrt{3}}

(d)

\frac{2}{\sqrt{3}}

Q. Find the value of :

\frac{cos 38^{\circ} csc 52^{\circ}}{tan 18^{\circ} tan 35^{\circ} tan 60^{\circ} tan 72^{\circ} tan 55^{\circ}} =

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cos 38o cosec 52otan 18o tan 35o tan 60o tan 72o tan 55o = ? (a) √3 (b) 13 (c) 1√3 (d) 2√3

cos 38o cosec 52otan 18o tan 35o tan 60o tan 72o tan 55o =cos(90−52)ocosec52otan(90−72)otan(90−55)otan60otan72otan55o =sin52ocosec52ocot72ocot55otan60otan72otan55o =1tan60o 1√3

$\frac{c o s 38^{o} c o s e c 52^{o}}{t a n 18^{o} t a n 35^{o} t a n 60^{o} t a n 72^{o} t a n 55^{o}}$ = ?

(a) $\sqrt{3}$ (b) $\frac{1}{3}$ (c) $\frac{1}{\sqrt{3}}$ (d) $\frac{2}{\sqrt{3}}$