Question 1

Evaluate without using a calculator by using ratios in a reference triangle.
-$\sec 30 ^ { \circ }$

Accepted Answer

A)  $\frac { \sqrt { 3 } } { 2 }$ 
B)  $\sqrt { 2 }$ 
C)  $\frac { 2 \sqrt { 3 } } { 3 }$ 
D)  2 
A)  $\frac { \sqrt { 3 } } { 2 }$ 
B)  $\sqrt { 2 }$ 
C)  $\frac { 2 \sqrt { 3 } } { 3 }$ 
D)  2

Question 2

Find the exact value of the real number y.
-$$y = \arccos \left( \frac { \sqrt { 3 } } { 2 } \right)$$

Accepted Answer

A)  $\frac { \pi } { 3 }$ 
B)  $\frac { 5 \pi } { 6 }$ 
C)  $- \frac { \pi } { 3 }$ 
D)  $\frac { \pi } { 6 }$ 
A)  $\frac { \pi } { 3 }$ 
B)  $\frac { 5 \pi } { 6 }$ 
C)  $- \frac { \pi } { 3 }$ 
D)  $\frac { \pi } { 6 }$

Evaluate without using a calculator by using ratios in a reference triangle. - $\sec 30 ^ { \circ }$

Find the exact value of the real number y. - $y = \arccos \left( \frac { \sqrt { 3 } } { 2 } \right)$

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Analytic Trigonometry

Applications of Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

Statistics and Probability

An Introduction to Calculus: Limits, Derivatives, and Integrals

Prerequisites

Filters

Exam 4: Trigonometric Functions

Evaluate without using a calculator by using ratios in a reference triangle. - sec⁡30∘\sec 30 ^ { \circ }sec30∘

Find the exact value of the real number y. - y=arccos⁡(32)y = \arccos \left( \frac { \sqrt { 3 } } { 2 } \right)y=arccos(23​​)