Sunday

February 1, 2015

February 1, 2015

Posted by **Kasey** on Thursday, January 29, 2009 at 9:12pm.

1. Find the exact value of tan(-3ð)

Answer: tan(-3ð) = tan (-3 + 2ð) = tan (-ð) = tan (-ð + 2ð) = tan(ð) = sin (ð)/cos(ð) = (0)/(-1) = 0

Exact value is 0

2. Solve triangleABC is C = 90 degrees, B = 20 degrees, and b = 10. Round the measures of sides to the nearest tenth and measure angles to the nearest degree.

Work:

(sinA)/a = (sinB)/b = (sinC)/c

(sin90)/c = (sin20)/10 = 1/c = 0.34/10

A+20+90=180 A = 180-110=70

(sinA)/9 = (sinB)/b

(sin70)/9 = (sin20)/10

0.93/9 = 0/34/10

0.93 * 0.034 = a = 27.35 -> 27.4

Answer is:

A= 70, B= 20, C=90

a=27.4 b=10, c=29.4

3. Find the exact value of sin405degrees

Work:

sin405°=sin45=+0.70711

405-360

Answer is 45°

- Trig -
**Kasey**, Thursday, January 29, 2009 at 9:12pmthe ð is suppose to be the pi symbol. it didn't work when i posted it!

- Trig -
**Reiny**, Thursday, January 29, 2009 at 9:36pmin #1, why not add 4pi ?

tan(-3pi) = tan(-3pi + 4pi) = tan(pi)

etc.

your answer is correct

#2.

I don't see where the 9 came from in sin70 /9.

Since you have a right-angled triangle there is no need to use the Sine Law, just do..

tan 70 a/10

a = 27.4 (you had that)

and

cos 70 = 10/c

c = 10/cos70 = 29.23

you could have found c by Pythagoras

c^2 = 10^2 = 27.47477^2 = 29.23

#3 you did not finish

sin 405º

= sin 45º

= 1/√2 or √2/2

**Answer this Question**

**Related Questions**

Trigonometry - Find the exact value of tan(a-b) sin a = 4/5, -3pi/2<a<-pi...

Trig - tan 15° using composite argument? - tan 15° tan (45°-30°) (tan 45° - tan ...

trig - please help me. use trig. identities to find the exact value. tan 25° + ...

trig - please help me. use trig. identities to find the exact value. tan 25° + ...

Math-Trigonometry - Show that if A, B, and C are the angles of an acute triangle...

Integration - Intergrate ¡ì sec^3(x) dx could anybody please check this answer. ...

Precalculus/Trig 5 - Find the exact value of thet following trigonometric ...

Trig. - sec^2xcotx-cotx=tanx (1/cos)^2 times (1/tan)-(1/tan)=tan (1/cos^2) times...

Trig - Sum and diffence formula Finding Exact value of Tan 105-Tan 10)-15)/1+ ...

PreCalculus - Hi I need some assistance on this problem find the exact value do ...