Question: The domain of \(f(x) = \cos^{-1}(2x)\) is: \(f(x) = \cos^{-1}(2x)\) का प्रांत (domain) क्या है? Options: \(\left[-\dfrac{1}{2}, \dfrac{1}{2}\right]\) \(\left[0,
Question: The value of \(\sin^{-1}\left(\cos\left(\dfrac{33\pi}{5}\right)\right)\) is \(\sin^{-1}\left(\cos\left(\dfrac{33\pi}{5}\right)\right)\) का मान क्या है? Options: \(\dfrac{-7\pi}{5}\) \(\dfrac{3\pi}{5}\) \(\dfrac{\pi}{10}\) \(\dfrac{-\pi}{10}\) \(\dfrac{-7\pi}{5}\) \(\dfrac{3\pi}{5}\) \(\dfrac{\pi}{10}\) \(\dfrac{-\pi}{10}\)
Question: The value of \(\cot\left[\dfrac{1}{2}\sin^{-1}\dfrac{\sqrt{3}}{2}\right]\) is \(\cot\left[\dfrac{1}{2}\sin^{-1}\dfrac{\sqrt{3}}{2}\right]\) का मान क्या है? Options: \(\dfrac{1}{\sqrt{3}}\) 0 1 \(\sqrt{3}\) \(\dfrac{1}{\sqrt{3}}\) 0 1 \(\sqrt{3}\)
Question: \(\sin\left[\dfrac{\pi}{3} – \sin^{-1}\left(-\dfrac{1}{2}\right)\right]\) is equal to \(\sin\left[\dfrac{\pi}{3} – \sin^{-1}\left(-\dfrac{1}{2}\right)\right]\) किसके बराबर है? Options: \(\dfrac{1}{4}\) 1 \(\dfrac{1}{2}\) \(\dfrac{1}{3}\) \(\dfrac{1}{4}\) 1
Question: What is/are the solution(s) of the trigonometric equation cosec x + cot x = \(\sqrt{3}\), where \(0 < x
Question: What is the value of \(\cos^4\dfrac{7\pi}{8} + \cos^4\dfrac{5\pi}{8}\)? \(\cos^4\dfrac{7\pi}{8} + \cos^4\dfrac{5\pi}{8}\) का मान क्या है? Options: \(\dfrac{3}{16}\) \(\dfrac{3}{2}\) \(\dfrac{3}{4}\)
Question: If \(\tan(45^\circ + \theta) = 1 + \sin 2\theta\), where \(-\dfrac{\pi}{4} < \theta < \dfrac{\pi}{4}\), then what is the
Question: What is \(\sin 3x + \cos 3x + 4\sin^3 x – 3\sin x + 3\cos x – 4\cos^3 x\)
Question: It is given that \(\cos(\theta – \alpha) = a\), \(\cos(\theta – \beta) = b\). What is \(\cos(\alpha – \beta)\)
Question: Given that, sin x + cos x + tan x + cot x + sec x + cosec x