If tan-17 and sin-1-10where 0 - - - - -2- then 2- is equal to

The correct option is A π4 α sinβ = 1 #10;√( 10 ) #160;⇒tanβ = 1 3 tan 2β #10;= 2tanβ #160; 1 tan #160;^ 2 β #160; = 2. 1 #10;3 ...

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Trigonometric Ratios for Sum of Two Angles

If tanα=17 ...

Question

If $tan α = \frac{1}{7}$ and $sin β = 1 \sqrt{10}$
where $0 < α, β < \frac{π}{2}$ , then $2 β$ is equal to

\frac{π}{4} - α

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\frac{3 π}{4} - α

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\frac{π}{8} - \frac{α}{2}

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\frac{3 π}{8} - \frac{α}{2}

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Solution

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Similar questions

tan α = \frac{1}{7}

sin β = \frac{1}{\sqrt{10}}

0 < α, β < \frac{π}{2}

2 β

= \frac{1}{2}

β \leq \frac{π}{2}

tan α = \frac{1}{7}

tan β = \frac{1}{\sqrt{10}}

α + 2 β = \frac{π}{a}

0 < α < \frac{π}{2}

0 < β < \frac{π}{2}

a

α

β

tan α = \frac{1}{7} . sin β = \frac{1}{\sqrt{10}}

α + 2 β

cos α = \frac{2 cos β - 1}{2 - cos β}, (0 < α < π, 0 < β < π)

tan \frac{α}{2} cot \frac{β}{2}

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