AP EAMCET · Maths · Trigonometric Equations
The general solution of \(\cos (x)-\sin (x)=0\) is
- A \(n \pi-\frac{\pi}{4}, n \in Z\)
- B \(2 n \pi+\frac{\pi}{4}, n \in Z\)
- C \(n \pi+\frac{\pi}{4}, n \in Z\)
- D \(2 n \pi-\frac{\pi}{4}, n \in Z\)
Answer & Solution
Correct Answer
(C) \(n \pi+\frac{\pi}{4}, n \in Z\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \cos x-\sin x =0 \\ \Rightarrow & \cos x =\sin x \Rightarrow \tan x=1 \\ \Rightarrow & x =n \pi+\frac{\pi}{4} ;(n \in \mathbf{Z}) \end{aligned}\)
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