# Sine - practice problems

#### Number of problems found: 287

- Trigonometry

Is true equality? sin(x +13 π)= sin(x) - X-triangle

Find the length of the x segment in the given triangle drawings. - Cotangent

If the angle α is acute, and cotan α = 1/3. Determine the value of sin α, cos α, and tan α. - Parallelogram 49383

The parallelogram has the sides a = 25.3 b = 13.8, and the angle closed by the sides is a = 72 °. Calculate the area of the parallelogram. - Cis notation

Evaluate multiplication of two complex numbers in cis notation: (6 cis 120°)(4 cis 30°) Write the result in cis and Re-Im notation. - 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? - Fifth 3871

What is the sum of the fifth root of 243? - Sine

In the triangle Δ ABC, if sin α =0.8 and sin β =0.6 Calculate sin γ. - One side

One side is 36 long with a 15° incline. What is the height at the end of that side? - An angle

An angle x is opposite side AB which is 10, and side AC is 15, which is the hypotenuse side in triangle ABC. Calculate angle x. - Sinus

Determine the smallest integer p for which the equation 4 sin x = p has no solution. - 30-60-90

The longer leg of a 30°-60°-90° triangle measures 5. What is the length of the shorter leg? - Triangle

Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius). - Maximum area of rhombus

Calculate the interior angles at which the equilateral rhombus has a maximum area. - Road

The angle of a straight road is approximately 12 degrees. Determine the percentage of this road. - Rhomboid

Calculate the circumference and area of the rhomboid with sides 19 and 20, with their angle 40°. - Trapezoid 2520

Trapezoid with sides a = 10, b = 20, c = 25, d = 15. Calculate all internal angles. - Instantaneous 69064

Describe how the instantaneous power value in the AC circuit changes during one period. - Diamond-air 27221

Find the cut-off angle for the diamond-air pair. n_d = 2.42 α_m =? The absolute refractive index of light for air n = 1 - Determine 18223

From the sine theorem, determine the ratio of the sides of a triangle whose angles are 30 °, 60 °, and 90 °.

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