જો sin t + cos t = frac{1}{5} હોય તો tan frac{t}{2} =

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3.Trigonometrical Ratios, Functions and Identities

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જો $sin t + cos t = \frac{1}{5}$ હોય તો $tan \frac{t}{2}$ =

A

$-1$

B

$-\frac{1}{3}$

C

$2$

D

બંને $(b)$ અને $(c)$

Solution

$sin t$ and $cos t$ in tangent of half the angle

$\Rightarrow (3y + 1)(y – 2) = 0$

$ \Rightarrow y = 2$ or $-1/3$ where $y = tan(t/2)$

Standard 11

Mathematics

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