Chapter 4: Trigonometry March 13, 2024 Maven Leave a Comment Welcome to the Chapter 4: Trigonometry Quiz! This quiz is based on the book back questions. Name Email 1. $tan (\frac{\pi}{4} -x)$ is $\frac{1+tanx}{1-tanx}$ $\frac{1-tanx}{1+tanx}$ 1-tanx 1+tanx None 2. The value of $cos^{2}45^o– sin^{2}45^o$ is $\frac{\sqrt{3}}{2}$ $\frac{{1}}{2}$ 0 $\frac{{1}}{\sqrt2}$ None 3. The value of $\frac{3tan 10^o-tan ^{3}10^o}{1-3tan^{2}10^o}$ is $\frac{1}{\sqrt{3}}$ $\frac{1}{2}$ $\frac{\sqrt{3}}{2}$ $\frac{1}{\sqrt{2}}$ None 4. The value of 1–2 sin$^{2}45^o$ is 1 $\frac{1}{2}$ $\frac{1}{4}$ 0 None 5. The value of $cosec^{-1}\frac{2}{\sqrt{3}}$ $\frac{\pi}{4}$ $\frac{\pi}{2}$ $\frac{\pi}{3}$ $ \frac{\pi}{6}$ None 6. If $tan A= \frac{1}{2}$ and $tan B = \frac{1}{3},$ then $tan(2A+B)$ is equal to 1 2 3 4 None 7. If $\alpha$ and $\beta$ be between 0 and $\frac{\pi}{2}$ and if $cos(\alpha + \beta)$ = $\frac{12}{13}$ and $sin(\alpha - \beta)$=$\frac{3}{5}$ then $sin 2\alpha$ is $ \frac{16}{15}$ 0 $ \frac{56}{65}$ $\frac{64}{65}$ None 8. $sin(cos^{-1}\frac{3}{5})$ is $\frac{3}{5}$ $\frac{5}{3}$ $\frac{4}{5}$ $\frac{5}{4}$ None 9. If $sin A= \frac{1}{2}$ then 4 $cos^{3}A$ - 3 $cosA$ is 1 0 $\frac{\sqrt{3}}{2}$ $ \frac{1}{\sqrt{2}}$ None 10. If $p sec 50^o= tan 50^o$ then p is $cos50^o$ $sin50^o$ $tan50^o$ $sec50^o$ None 11. The value of $\frac{2tan 30^o}{1+tan^{2}30^o}$ is $\frac{1}{2}$ $\frac{1}{\sqrt{3}}$ $\frac{\sqrt{3}}{2}$ $\sqrt{3}$ None 12. $(\frac{cosx}{cosecx}) -\sqrt{1-sin^{2}x}\sqrt{1-cos^{2}x}$ is $cos^{2}x- sin^{2}x$ $sin^{2}x-cos^{2}x$ 1 0 None 13. $\sec^{-1}{\frac{2}{3}}$ + $\csc^{-1}{\frac{2}{3}}$ $-\frac{\pi}{2}$ $\frac{\pi}{2}$ $ \pi$ $-\pi$ None 14. The value of $\frac{1}{cosec^{-1}45^o}$ $\frac{-1}{\sqrt{2}}$ $\frac{1}{\sqrt{2}}$ $\sqrt{2}$ $-\sqrt{2}$ None 15. The value of $4cos^{3}40^o –3cos40^o$ is $\frac{\sqrt{3}}{2}$ $\frac{-1}{2}$ $ \frac{1}{2}$ $\frac{1}{\sqrt2}$ None 16. The value of sin $(-420^o)$ is $\frac{\sqrt{3}}{2}$ $-\frac{\sqrt{3}}{2}$ $\frac{1}{2}$ $-\frac{1}{2}$ None 17. If $sinA + cosA =1$ then sin2A is equal to 1 2 0 $\frac{1}{2}$ None 18. The value of $sin28^ocos17^o+ cos28^osin17^ois$ $\frac{1}{\sqrt{2}}$ 1 $-\frac{1}{\sqrt{2}}$ 0 None 19. The value of $sin15^ocos15^o$ is 1 $\frac{1}{2}$ $\frac{\sqrt{3}}{2}$ $\frac{1}{4}$ None 20. The value of sin $15^o$ is $\frac{\sqrt{3}+1}{2\sqrt{2}}$ $\frac{\sqrt{3}-1}{2\sqrt{2}}$ $\frac{\sqrt{3}}{\sqrt{2}}$ $\frac{\sqrt{3}}{2\sqrt{2}}$ None 21. If $tan\theta= \frac{1}{\sqrt{3}}$ and $\theta$ lies in the first quadrant then $cos \theta$ is $\frac{1}{\sqrt{6}}$ $\frac{-1}{\sqrt{6}}$ $\frac{\sqrt{5}}{\sqrt{6}}$ $\frac{\sqrt{-5}}{\sqrt{6}}$ None 22. The radian measure of $37^o 30'$ is $\frac{5π}{24}$ $\frac{3π}{24}$ $\frac{7π}{24}$ $\frac{9π}{24}$ None 23. The value of $secA sin(270^o+ A)$ is –1 $cos^{2}A$ $sec^{2}A$ 1 None 24. The degree measure of $\frac{π}{8}$ is: 20$^o 60'$ 22$^o30'$ 22$^o60'$ 20$^o30'$ None 25. The value of cos $(-480^o)$ is $ \sqrt{3}$ $-\frac{\sqrt{3}}{2}$ $\frac{1}{2}$ $-\frac{1}{2}$ None Time's up Related Posts:Chapter 1: Introduction to Micro EconomicsChapter 2. Consumption AnalysisChapter 3: Production AnalysisChapter 4: Cost and Revenue Analysis
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