If cos- - 3 5 - - - - 3- 2 find the value of - - -tan-

Consider the following question. #10; #10; cosθ =35 , π lt;θ #10; lt;3π2 #10; #10;Find the value of θ +θθ tan #10;θ Using a Pytha ...

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Circular Measurement of Angle

If cosθ = 3...

Question

If $cos θ = \frac{3}{5}, π < θ < \frac{3 π}{2}$ find the value of $\frac{csc θ + cot θ}{sec θ - tan θ}$

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tan θ = - 1

\frac{sec θ - cos e c θ}{cos θ - sin θ},

\frac{3 π}{2} < θ < 2 π

Some trigonometric ratios and the interval in which $θ$ lies is given. Match the intervals with the ratios which are positive in those intervals.

$θ$ gives positive values

p. (0, $\frac{π}{2}$ ) 1. Only sin $θ$ , cosec $θ$

q. ( $\frac{π}{2}$ , $π$ ) 2. Only cos $θ$ , sec $θ$

r. $(π, \frac{3 π}{2})$ 3. Only tan $θ$ , cot $θ$

s. $(\frac{3 π}{2}, 2 π)$ 4. All sin $θ$ , cos $θ$ , tan $θ$ , cot $θ$ , sec $θ$ , cosec $θ$

sec θ = \sqrt{2}

\frac{3 π}{2} < θ < 2 π

\frac{1 + tan θ + csc θ}{1 + cot θ - csc θ} = m

- m

In the table, trigonometric ratios and the intervals of $θ$ are given. Match the intervals with the ratios which are positive in those intervals.

\begin{matrix} θ & gives positive values p. (0, \frac{π}{2}) & 1. Only sin θ, cosec θ q. (\frac{π}{2}, π) & 2. Only cos θ, sec θ r. (π, \frac{3 π}{2}) & 3. Only tan θ, cot θ s. (\frac{3 π}{2}, 2 π) & 4. All sin θ, cos θ, tan θ, cot θ, sec θ, cosec θ \end{matrix}

sec θ = \sqrt{2}

\frac{3 π}{2} < θ < 2 π

\frac{1 + tan θ + cosec θ}{1 + cot θ - cosec θ}

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