CK-12-Pre-Calculus Concepts

4.4. Right Triangle Trigonometry http://www.ck12.org 4.4 Right Triangle Trigonometry Here you will learn the six right triangle ...

http://www.ck12.org Chapter 4. Basic Triangle Trigonometry The reason why these trigonometric functions exist is because two tri ...

4.4. Right Triangle Trigonometry http://www.ck12.org Solution:This problem can be solved using sin, cos or tan because the oppos ...

http://www.ck12.org Chapter 4. Basic Triangle Trigonometry tan 65◦= 10 x x=10 tan 65◦≈ 30. 8 f t Vocabulary Thesix trigonometric ...

4.4. Right Triangle Trigonometry http://www.ck12.org Drawing out the triangle, it looks like: sin 1=^3 z z=sin 1^3 ≈ 3. 6 Dra ...

http://www.ck12.org Chapter 4. Basic Triangle Trigonometry TABLE4.9:(continued) 90 ◦ 4 7 90 ◦ 37 ◦ 18 90 ◦ 15 ◦ 32 90 ◦ 6 11 90 ...

4.5. Law of Cosines http://www.ck12.org 4.5 Law of Cosines Here you will solve non-right triangles with the Law of Cosines. The ...

http://www.ck12.org Chapter 4. Basic Triangle Trigonometry a=a 1 +a 2 ( 1 ) b^2 =a^21 +h^2 ( 2 ) c^2 =a^22 +h^2 ( 3 ) cosC=ab^1 ...

4.5. Law of Cosines http://www.ck12.org c^2 =a^2 +b^2 − 2 ab·cosC 2302 = 1202 + 1502 − 2 · 120 · 150 ·cosD 2302 − 1202 − 1502 =− ...

http://www.ck12.org Chapter 4. Basic Triangle Trigonometry Solution:This problem must be done in two parts. First apply the Law ...

4.5. Law of Cosines http://www.ck12.org Guided Practice Determine the length of sider. Determine the measure of angleTin degree ...

4.8 Applications of Basic Triangle Trigonometry Find the length ofh. Find the measure of angleG. Find the measure of angleI. Ex ...

4.6. Law of Sines http://www.ck12.org 4.6 Law of Sines Here you will further explore solving non-right triangles in cases where ...

http://www.ck12.org Chapter 4. Basic Triangle Trigonometry Looking at the right triangle formed on the left: sinA=hb h=bsinA Loo ...

4.6. Law of Sines http://www.ck12.org Case 1:a<h Simply put, sideais not long enough to reach the opposite side and the trian ...

http://www.ck12.org Chapter 4. Basic Triangle Trigonometry Solution: sin 17◦= 14 h h=14 sin 17◦≈ 4. 0932 ... Sincea=h, this info ...

4.6. Law of Sines http://www.ck12.org Guided Practice Given∆ABCwhereA= 10 ◦,b= 10 ,a=11, find^6 B. Given∆ABCwhereA= 12 ◦,B= 50 ...

http://www.ck12.org Chapter 4. Basic Triangle Trigonometry 4.7 Area of a Triangle Here you’ll use the sine ratio to find the are ...

4.7. Area of a Triangle http://www.ck12.org Using the sine function, you can isolatehfor height: sinC=ha asinC=h Substituting in ...

http://www.ck12.org Chapter 4. Basic Triangle Trigonometry Concept Problem Revisited What if you are given the sides of a triang ...