Complete these trigonometric functions: sin@=_____; cos@=_____; and tan@=_____
What is y/r, x/r, and y/x ?
100
Complete The Law of Cosines: c2=_____; b2=______; a2=_____
What is a2+b2-2abcosC; a2+c2-2accosB; and b2+c2-2bccosA ?
100
Complete The Law of Sines:
sinA/? = sinB/? = sinC/?
What is a, b, c?
100
Solve the right triangle ABC where b=50 and angle A=36 degrees.
What is angle B = 54 degrees, a=36.3 and c=61.8?
100
Consider these triangle area formulas: K=1/2bcsinA, K=1/2acsinB, K=1/2absinC. These 3 formulas are useful for finding areas of triangles when given____sides and the included______.
What is two and angle?
200
Complete these reciprocal trigonometric functions: cot@=____; sec@=______; csc@=______
What is x/y or 1/tan@; r/x or 1/cos@; r/y or 1/sin@ ?
200
Find the indicated part of triangle ABC: a=6, b=7, angle C=20 degrees, c=?
What is 2.46?
200
Find the indicated part of triangle ABC: a=14, angle A=25 degrees, angle B=75 degrees, b=?
What is 32.0?
200
Solve triangle ABC if a=5, b=7, c=11.
What is angle A=19.7 degrees, angle B= 28.2 degrees, and angle C= 132.1 degrees ?
200
Consider these triangle area formulas: K=(1/2)a2(sinBsinC)/sinA, K=(1/2)b2(sinAsinC)/sinB, K=(1/2)c2(sinAsinB)/sinC These 3 formulas are useful for finding areas of triangles when given_____angles and ____side.
State the name of this formula: K=sqr[s(s-a)(s-b)(s-c)], where s=1/2(a+b+c)
What is two, one and what is Hero's formula?
300
Find tan@ if @ is an acute angle and sin@=1/3.
What is sqr2/4 ?
300
Find the indicated part of triangle ABC: c=15, b=30, angle A=140 degrees, a=?
What is 42.6?
300
Find the indicated part of triangle ABC: a=4.0, c=6.4, angle C=125 degrees, angle B=?
What is 24.2 degrees?
300
Solve triangle ABC if b=10, c=13, angle A=120 degrees.
What is a=20.0, angle B=25.7 degrees, angle C=34.3 degrees?
300
Find the area of the triangle if angle A= 25 degrees, angle B=50 degrees, b=30
What is 240?
400
Find the value of the six trigonometric functions of angle 330 degrees.
What is sin 330 degrees=-1/2; cos 330 degrees=sqr3/2; tan 330 degrees=-sqr3/3; cot 330 degrees=-sqr3; sec 330 degrees=2sqr3/3; and csc 330 degrees=-2 ?
400
Find the indicated part of triangle ABC: a=13, b=30, c=40, smallest angle=?
What is 13.8 degrees?
400
Two angles of a triangle measure 32 degrees and 53 degrees. The longest side is 55 cm. Find the length of the shortest side.
What is 29.3 cm?
400
Solve triangle ABC if b=22, c=30, and angle B= 30 degrees.
What is angle A=107.0 degrees, angle C= 43.0 degrees, and a=42.1 OR angle A=13.0 degrees, angle C=137.0 degrees, and a=9.90 ?
400
Find the area of the triangle if a=6, c=14, angle B=62 degrees
What is 37.1?
500
Find the five other trigonometric functions of @ if cos@=-2/5 and 180 degrees<@<360 degrees.
What is sin@=-sqr21/5; tan@=sqr21/2; sec@=-5/2; csc@=-5sqr21/21;and cot@=2sqr21/21
500
A triangular-shaped lot of land has sides of length 130m, 150m, and 80m. What are the measures of the angles?
What is 32.2 degrees, 87.8 degrees, and 60.0 degrees?
500
How long is the base of an isosceles triangle if each leg is 27 cm and each base angle measures 23 degrees?
What is 49.7cm?
500
Solve triangle ABC if a=17, angle B = 20 degrees, and angle C= 60 degrees.