# Quiz. Trigonometry.

1-In the statements below find which is True and which is False  1. sin1790<0  2. cos1780<0  3. sin450=cos450  4. sin70=cos830  5. sinα=1,1  6. sin2 0+cos2 0=0  7. tg1010 <0  8. cotg1300 >0

2-Given  , verify that the area    and find the value of S when  x=300 .

3-The angles of a triangle are  45dhe 75. Find the measure of the third angle in radian .

Find the third angle in degrees 1800-(450+750)=600.Then plug in   . The third triangle is

4-Find the domain of the function    .  Answer:

5-Verify the indentity. . 6- Given  b=2; ; dhe β=450  in the picture, find the angles γ and α.

Based on the sin theorem we can write

7-Given triangle with  a=5cm; b=6cm dhe c=7cm find the Area(S) of the triangle..

Find the radius of the circumcenter of the tringle. Find the sin and cos of the angle α.

. We can find the area by using Heron Formula  .

From the sin theorem we write:  . From the cos theorem we write :  .We can see that the angle is an acute angle. 8-In the triangle  ABC there are givenb=4; ; α=450.Find: the side  a; sinβ ; sinγ; the height of the triangle taken from the C apex .

Using the cos theorem we can find the side a.  . Using sin theorem we can find sinβ dhe sinγ.

To find the height of the triangle taken from the  C apex , first we can find the area of the triangle S.  We also know that  . where h is the height of the triangle taken from the C apex.