The general value of - in the equation cos-1-2- tan-1 is

The correct option is D Here θ lies in the 4^th quadrant. ∴θ = 2π π/4 = 7π/4 Now considering the equation, cosθ = cos7π/4 ⇒ General value of θ = 2nπ±7π/4, ...

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Standard XII

Mathematics

General Solution of cos theta = cos alpha

The general v...

Question

The general value of θ in the equation $cos θ = \frac{1}{\sqrt{2}}, tan θ = - 1$ is

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Solution

The correct option is B
Here $θ$ lies in the $4^{t h}$ quadrant.
$∴ θ = 2 π - \frac{π}{4} = \frac{7 π}{4}$
Now considering the equation,
$cos θ = cos \frac{7 π}{4}$
$\Rightarrow$ General value of $θ = 2 n π \pm \frac{7 π}{4}, n \in I$

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The general value of θ in the equation cosθ=1√2,tanθ=−1 is

The correct option is B Here θ lies in the 4th quadrant. ∴θ=2π−π4=7π4 Now considering the equation, cosθ=cos7π4 ⇒ General value of θ=2nπ±7π4,n∈I

The general value of θ in the equation $cos θ = \frac{1}{\sqrt{2}}, tan θ = - 1$ is

The correct option is B
Here $θ$ lies in the $4^{t h}$ quadrant.
$∴ θ = 2 π - \frac{π}{4} = \frac{7 π}{4}$
Now considering the equation,
$cos θ = cos \frac{7 π}{4}$
$\Rightarrow$ General value of $θ = 2 n π \pm \frac{7 π}{4}, n \in I$