Question

Sin theta - cos theta =0 then find the value of theta

Answer 1

Step-by-step explanation:

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Answer 2

★ Solution :-

Given that ,

• sinθ - cosθ = 0

We need to find ,

• θ = ?

Simplifying sinθ - cosθ = 0

$\bf\longrightarrow sin\theta=cos\theta$

Here, the value of the $\theta$ should make the values of sinθ & cosθ equal.

As we know that ,

cos45° = ½ = sin45°

That means here ,

$\rm\longrightarrow \boxed{\pink{\theta = 45^\circ}}$

$\rule{200}1.5$

★ More information :-

$\begin{tabular}{|c|c|c|c|c|c|}\cline{1-6}\theta&\sf0^{\circ}&\sf 30^{\circ}&\sf 45^{\circ}&\sf 60^{\circ}&\sf 90^\circ\\\cline{1-6} \sin & 0 & \dfrac{1}{2 } & \dfrac{1}{ \sqrt{2} } & \dfrac{ \sqrt{3}}{2} & 1 \\ \cline{1-6} \cos & 1 &\dfrac{\sqrt3}{2} & \dfrac{1}{\sqrt2} & \dfrac{1}{2} & 0 \\ \cline{1 - 6}\tan&0& \dfrac{1}{\sqrt3}&1&\sqrt3&\infty\\\cline{1-6} \csc & \infty & 2&\sqrt2&\dfrac{2}{\sqrt2} &1\\\cline{1-6} \sec& 1 &\dfrac{2}{\sqrt3} &\sqrt2&2&\infty\\\cline{1-6}\end{tabular}$