Find the value of cosec31 - - 59 -

cosec 31^o 59^o ⇒ #160; cosec (90^o 59^o) 59^o ⇒ #160; 59^o 59^o #160; #160; #160; #160; #160;[ Since cose ...

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Byju's Answer

Standard XII

Mathematics

Circular Measurement of Angle

Find the valu...

Question

Find the value of $cosec 31^{\circ} - sec 59^{\circ}$

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Solution

$cosec 31^{o} - sec 59^{o}$
$\Rightarrow$ $cosec (90^{o} - 59^{o}) - sec 59^{o}$
$\Rightarrow$ $sec 59^{o} - sec 59^{o}$ [ Since $cosec (90^{o} - θ) = sec θ$ ]
$\Rightarrow$ $0$
$∴$ $cosec 31^{o} - sec 59^{o} = 0$

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Find the value of cosec31∘−sec59∘

cosec31o−sec59o⇒ cosec(90o−59o)−sec59o⇒ sec59o−sec59o [ Since cosec(90o−θ)=secθ ]⇒ 0∴ cosec31o−sec59o=0

Find the value of $cosec 31^{\circ} - sec 59^{\circ}$

$cosec 31^{o} - sec 59^{o}$
$\Rightarrow$ $cosec (90^{o} - 59^{o}) - sec 59^{o}$
$\Rightarrow$ $sec 59^{o} - sec 59^{o}$ [ Since $cosec (90^{o} - θ) = sec θ$ ]
$\Rightarrow$ $0$
$∴$ $cosec 31^{o} - sec 59^{o} = 0$