# Sine - math word problems

#### Number of problems found: 153

• Angles by cosine law Calculate the size of the angles of the triangle ABC, if it is given by: a = 3 cm; b = 5 cm; c = 7 cm (use the sine and cosine theorem).
• Right triangle trigonometrics Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60° and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent)
• The cone The lateral surface area of the cone is 4 cm2, the area of the base of the cone is 2 cm2. Determine the angle in degrees (deviation) of the cone sine and the cone base plane. (Cone side is the segment joining the vertex cone with any point of the base c
• Trigonometry Is true equality? ?
• Height 2 Calculate the height of the equilateral triangle with side 38.
• Q-Exam If tg α = 9.6, Calculating sin α, cos α, cotg α .
• Cotangent If the angle α is acute, and cotg α = 1/3. Determine the value of sin α, cos α, tg α.
• Sinus Determine the smallest integer p for which the equation 4 sin x = p has no solution.
• Trigonometry If you know that cos(γ) = sin (806°), what is the angle γ?
• Sines In ▵ ABC, if sin(α)=0.5 and sin(β)=0.6 calculate sin(γ)
• Trigonometric functions In the right triangle is: ? Find the value of s and c: ? ?
• Pentagon Calculate the area of a regular pentagon, which diagonal is u=17.
• Right Determine angles of the right triangle with the hypotenuse c and legs a, b, if: ?
• One side One side is 36 long with a 15° incline. What is the height at the end of that side? The angle of a straight road is approximately 12 degrees. Determine the percentage of this road. What is the slope of a ladder 6.2 m long and 5.12 m in height.
• Isosceles triangle What are the angles of an isosceles triangle ABC if its base is long a=5 m and has an arm b=4 m.
• ABCD AC= 40cm , angle DAB=38 , angle DCB=58 , angle DBC=90 , DB is perpendicular on AC , find BD and AD
• Inscribed and described circle Find the radii of a circle inscribed and circumscribed by a regular pentagon whose side measures 3 cm.
• Two triangles SSA Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 59°, a = 13, b = 14

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Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.