The value of cosec10∘−3sec10∘ is equal to

a= csc10−3sec10 ⇒a=sin10cos10 cos10−3sin10 =2sin10cos10 4(sin30cos10−cos30sin10 ) ⇒a=sin20 4sin20 =4{∵2sinAcosA=sin2A&sinAcosB−cosAsinB=sin(A−B) } Ans: C

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The value of co 10^{}-{}3 10^{} is equal to

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The value of $co sec 1 0^{\circ} - 3 sec 1 0^{\circ}$ is equal to

\frac{1}{2}

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Text solutionVerified

a = csc 10 - 3 sec 10

\Rightarrow a = \frac{cos 10 - 3 sin 10}{sin 10 cos 10} = \frac{4 ( sin 30 cos 10 - cos 30 sin 10 )}{2 sin 10 cos 10}

\Rightarrow a = \frac{4 sin 20}{sin 20} = 4 {∵ 2 sin A cos A = sin 2 A & sin A cos B - cos A sin B = sin (A - B)}

Ans: C

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Question Text	The value of $co sec 1 0^{\circ} - 3 sec 1 0^{\circ}$ is equal to
Answer Type	Text solution:1
Upvotes	152

The value of cosec10∘−​3sec10∘ is equal to

Text solutionVerified

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The value of $co sec 1 0^{\circ} - 3 sec 1 0^{\circ}$ is equal to