Algebra 2 - Semester 2 Review: Trigonometry (1 of 4)

Algebra 2 - Semester 2 Review:
Part 1: Trigonometry
1-2.) Convert radians to degrees and degrees to radians. 3.) Solve right triangles using sine, cosine, tangent, or the Pythagorean theorem. 4-5.) Sketching graphs of transformed (translated) sine and cosine functions, including 8.) identifying what the period and amplitude are. 6.) Given the value of a trig function and a quadrant, find the value of other trig functions. 7.) Solve a real life problem using trigonometry. 9.) Given a point on the terminal side of an angle, find sine, cosine, and tangent of the resulting triangle made with the x-axis. 10.) Find coterminal angles.

Part 2: Exponentials and Logarithms
11, 19.) Use simple and compound interest to find how much money is left given an interest rate, initial investment and the amount of time. 12.) Solve an exponential equation by using logarithms. 13.) Convert between exponential and logarithmic forms. 14.) Use the change of base formula to evaluate a logarithm. 15.) Transform a function to represent a change in the graph. 16, 20.) Expand and condense logarithms. 17.) Solve a logarithmic equation. 21.) Distinguish between exponential growth and decay functions.

Part 3: Conic Sections
22.) Given the equation of a circle, identify the center. 23.) Given the center and radius of a circle write its equation. 24.) Given the vertices and asymptotes of a hyperbola, write the equation. 25.) Identify the type of conic by its equation. 26.) Write the equation of an ellipse given its vertex and co-vertex. 27.) Write the equation of a hyperbola given its center, axis, and a and b values. 28.) Put the conic into standard form by completing the square. 29.) Write the equation of the parabola given the vertex and focus. 30.) Given the equation of a circle that's not in standard form, find the radius.

Part 4: Sequences and Series
31.) Given an arithmetic series in sigma notation, find the sum. 32.) Given an arithmetic sequence, write the equation for the nth term. 33.) Given a geometric sequence, write the equation for the nth term. 34.) Given the first term and common ratio, find the sum of the first 4 terms of a geometric series. 35.) Use a recursive formula to generate a sequence. 36.) Given the first and last term and the common difference, find the sum of an arithmetic series. 37.) Given the first term and the common difference, find any term in the sequence. 38.) Given an nth term equation, find any term in the sequence. 39.) Know the difference between arithmetic and geometric and what doesn't fit into either category. 40.) Given a geometric series, find the sum of the first 4 terms. 41.) Given two terms in a geometric sequence, find the common ratio, the nth term formula, the 100th term, and the sum of the first 30 terms.

[Septix]

Amazing, you just did a problem my teacher took 3 months to explain and still was terrible. The way you found the angle is life and time saver. I cannot thank you enough for your videos sir. Thank you so much. 

[davidtutorsmath]

That works too! There are a lot of times after using law of sines and cosines that my students prefer those over just right triangle trig because it simplifies the number of options. I prefer the simplicity of just the right triangle trig function so I don't have to simplify sin(90) to 1 or cos(90) to 0. Good luck as you continue working with trig.

[jackfersztFMR]

Mr. Brazle. This final is the only final standing in between me and my 4.0. Im not going to be too polite to this final! as in, im going to do sooo well on it, that the paper itself will ache from all the right answers i slapped on it.

[monenga]

thank you! I love the baby in the background :) Thanks for taking the time from your family to help us all.

[davidtutorsmath]

@CentralJerk I reduced the fraction 400/180. Both top and bottom have a common factor of 20 so you can divide it out 400/20 = 20 and 180/20 = 9, thus 20/9. Then you just tack on the pi like you had it before. If you don't see the 20 right away you can take smaller factors out until it's fully reduced.

[matthewmcdaniels]

for q3, i would have used b over SinB= c over sinC to get <B