Let \( f(x)=e^{\cos ^{-1} \sin (x+\pi / 3)} \). Then
(a) \( f\left(\frac{8 \pi}{9}\right)=e^{5 \...
Let \( f(x)=e^{\cos ^{-1} \sin (x+\pi / 3)} \). Then
(a) \( f\left(\frac{8 \pi}{9}\right)=e^{5 \pi / 18} \)
(b) \( f\left(\frac{8 \pi}{9}\right)=e^{13 \pi / 18} \)
(c) \( f\left(-\frac{7 \pi}{4}\right)=e^{\pi / 12} \)
(d) \( f\left(-\frac{7 \pi}{4}\right)=e^{11 \pi / 12} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2022-10-27 | In a \( \triangle \mathrm{ABC}, \mathrm{B}=90^{\circ}, \mathrm{AC}=\mathrm{h} \) and the length ... |
| 2022-10-27 | If the \( \triangle \mathrm{ABC} \) is acute angled at \( \mathrm{C} \) then
(a) \( \cos 2 A+\co... |
| 2022-10-27 | In a \( \triangle A B C, \cos B \cdot \cos C+\sin B \cdot \sin B \cdot \sin C \cdot \sin ^{2} A=... |
| 2022-10-27 | The side of a triangle are in AP and its are is \( \frac{3}{5} \times( \) area of an equilateral... |
| 2022-10-27 | \( \sin A, \sin B \sin C \) are in \( A P \) for the \( \triangle A B C \) Then
(a) the altitude... |
| 2022-10-27 | In a \( \triangle A B C, \tan A \cdot \tan B \cdot \tan C=9 \). For such triangles, if then \( \... |
| 2022-10-27 | If \( \mathrm{BD}, \mathrm{BE} \) and \( \mathrm{CF} \) are the medians of a \( \triangle \mathr... |
| 2022-10-27 | In \( \triangle \mathrm{ABC} \), if \( \tan \frac{\mathrm{A}}{2}=\frac{5}{6} \) and \( \tan \fra... |
| 2022-10-27 | One of the values of \( x \) satisfying \( \tan \left(\sec ^{-1} x\right)=\sin \cos ^{-1} \frac{... |
| 2022-10-27 | If \( 0x1 \) then \( \tan ^{-1-} \frac{\sqrt{1-x^{2}}}{1+x} \) is equal to
(a) \( \frac{1}{2} \c... |
| 2022-10-27 | Let \( f(x)=e^{\cos ^{-1} \sin (x+\pi / 3)} \). Then
(a) \( f\left(\frac{8 \pi}{9}\right)=e^{5 \... |
| 2022-10-27 | \( \alpha, \beta \) and \( \gamma \) are three angles given by \( \alpha=2 \tan ^{-1}(\sqrt{2}-1... |
| 2022-10-27 | Let \( \tan ^{-1}\left(\tan \frac{5 \pi}{4}\right)=\alpha, \tan ^{-1}\left(-\tan \frac{2 \pi}{3}... |
| 2022-10-27 | If \( f(x)=\cos ^{-1} x+\cos ^{-1}\left\{\frac{x}{2}+\frac{1}{2} \sqrt{3-3 x^{2}}\right\} \) the... |
| 2022-10-27 | At \( x=\frac{3}{2} \), the value is real for
(a) \( \tan ^{-1} x \)
(b) \( \operatorname{cosec}... |
| 2022-10-27 | If \( \frac{1}{2}|x|1 \) then which of the following are real?
(a) \( \sin ^{-1} x \)
(b) \( \ta... |
| 2022-10-27 | The number of real solutions of \( (x, y) \), where \( |y|=\sin x, y=\cos ^{-1}(\cos x),-2 \pi \... |
| 2022-10-27 | Let \( f(x)=\sin ^{-1} x+\cos ^{-1} x \). Then \( \frac{\pi}{2} \) is equal to
(a) \( f\left(-\f... |
| 2022-10-27 | Considering principal values, the number of solutions of
\[
\tan ^{-1} 2 x+\tan ^{-1} 3 x=\frac{... |
| 2022-10-27 | The set of values of \( k \) for which \( x^{2}-k x+\sin ^{-1}(\sin 4)0 \) for all real \( x \) ... |
| 2022-10-27 | If \( \cos ^{-1} x\sin ^{-1} x \) then
(a) \( x0 \)
(b) \( -1x0 \)
(c) \( 0 \leq x\frac{1}{\sqrt... |
0