Trigonometric Functions Equation

Introduction to Trigonometric Functions

by Fathiah Jasni

Multiple Choice

If  $$\tan\theta=\frac{-1}{\sqrt[]{2}}$$  and  $$\theta$$  is in the fourth quadrant, find  $$\sec\theta.$$  

• $$\frac{\sqrt[]{6}}{2}$$  

• $$\frac{\sqrt[]{6}}{3}$$  

• $$-\sqrt[]{3}$$  

• $$\frac{\sqrt[]{3}}{3}$$  

Multiple Choice

If  $$\tan\theta=\frac{-1}{\sqrt[]{2}}$$  and  $$\theta$$  is in the fourth quadrant, find  $$\operatorname{cosec}\theta.$$  

• $$\frac{\sqrt[]{6}}{2}$$  

• $$\frac{\sqrt[]{6}}{3}$$  

• $$-\sqrt[]{3}$$  

• $$\frac{\sqrt[]{3}}{3}$$  

Multiple Choice

Find the equivalent value for $$\tan\ 240\degree.$$  

• $$\tan\ 30\degree$$  

• $$-\tan\ 60\degree$$  

• $$\tan\ 60\degree$$  

• $$\tan\ 120\degree$$  

Multiple Choice

Find the equivalent value for $$\cos\ -225\degree.$$  

• $$-\cos45\degree$$  

• $$-\cos\ 135\degree$$  

• $$\cos45\degree$$  

• $$\cos120\degree$$  

Multiple Choice

Find the equivalent value for $$\cot\ -300\degree.$$  

• $$-\cot60\degree$$  

• $$\frac{1}{\tan\ 60\degree}$$  

• $$\frac{1}{\tan300\degree}$$  

• $$\cot120\degree$$