Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 42330: Rewrite 5π/4 radians in degree measure.
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Question 42332: Find the exact value of cot(-315º).
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Question 42331: Find the exact value of cos θ if the terminal side of θ is standard position contains the point (6,-8).
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Question 42355: In ∆ABC, C=60 degrees, a=12, and b=5. Find c.
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Question 42357: The vertices of a triange are (5,3) (5, -1) and (-1, -1) what would the fourth one be?
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Question 42354: P(19/41,40,41) is located on the unit circle. Find sin θ.
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Question 42391: Solve y= Arc sin 1/2.
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Question 42393: Find the value of Sin^-1(-1/2).
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Question 42395: Find the value of tan(Tan^-1 1/2)
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Question 42389: Find the exact value of cos(-420º)
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Question 42390: Write the equation sin y=x in the form of an inverse function.
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Question 42390: Write the equation sin y=x in the form of an inverse function.
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Question 42463: Find the exact value of sin(-π/6).
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Question 42459: An insect population P in a certain area fluctuates with the seasons. It is estimated that P = 17,000+ 4500sin πt/52, where t is given in weeks. Determine the number of weeks it would take for the population to initially reach 20,000.
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Question 42464: In ∆ABC, C=30 degrees, c=22, and b=42. Find B.

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Question 42457: Find the solution of sin 2θ=cos θ if 0º Thank You
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Question 42440: Find the vertical shift of y= -4sec Θ+7.
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Question 42438: Find the vertical shift of y= -4sec Θ+7.
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Question 42532: Find the solution of sin 2 θ = cos θ if 0° < or = 180°.

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Question 42452: Give an expression that is equivalent to: cos(θ+(π/2).
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Question 42450: What expression is equivalent to tan θ-(sec θ/sin θ).
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Question 42656: Find the exact value of sin θ/2 if cos θ = 2/3 and 270° < θ <360°.
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Question 42653: Find the exact value of sin 2θ if cosθ = -(√5)/3 and 180° < θ < 270°.
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Question 42529: Determine if the following triangles have no solutions, one solution, or two solutions:
1. A=130 degrees, a=19, b=11.
2. A=45 degrees, a=4√2, b=8.
3. A=32 degrees, a=16, b=21.
4. A=90 degrees, a=25, b=15.
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Question 42648: Find cosθ if sinθ = 3/5 and 90° < θ <180°.
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Question 42646: Find sec θ if tan θ =1/4 and 180° < θ < 270°.
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Question 42530: Find the solution of sin 2θ=cosθ if 0° Thank You

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Question 43054: express the following as a function of an acute angle: sin(-46.6 degrees)
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Question 43049: what is the measure of the angle whose terminal side in stanard position passes through: (-1,sq. of 3)
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Question 43053: express the following as a function of an acute angle: sec(-106 degrees)
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Question 43051: write the 6 trig values in exact form for the point: p(3,4)
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Question 43108: Choose the correct function value for: csc 23°20'
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Question 43113: The approach pattern to an airport requires pilots to set an 11o angle of descent toward a runway. If a plane is flying at an altitude of 9,500 m, at what distance (measured along the ground) from the airport must the pilot decend
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Question 43120: A boy is flying a kite and is standing 30ft from a point directly under the kite. If the string to the kite is 50 feet long, find the angle of the elevation of the kite.
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Question 42455: Find the exact value of cos 105º by using a half-angle formula.
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Question 43142: Two planes leave an airport at the same time, one flying due west at 500km/h and the other flying due southeast at 300km/h. What is the distance between the planes two hours later?
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Question 43137: A parrallelogram has sides 6 cm and 8 cm and a 65o angle. Find the lengths of the diagnols.
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Question 43173: From the top of an office building 72 ft high, the angle of elevation to the apartment building across the street is 31o. From the base of the office building, the elevation is 46o. How tall is the apartment building.
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Question 43163: Two surveyors are on the opposite sides of a swamp. To find the distance between them, one surveyor locates a point T that is 180 m to point P, her location. The other surveyor locates point R, which is 80 m from point T and creates an angle of 72o for angle PTR. Find the distance across the swamp (PR).
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Question 43249: Jan is flying a plane on a triangular course at 320 mi/hr. she flies due east for two hours and then turns right through a 65o angle. How long after turning will she be exactly southeast of where she started?
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Question 43248: In triangle ABC, c = 10 and angle A = angle B = 40o. Find the length of the median to line segment AC
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Question 43248: In triangle ABC, c = 10 and angle A = angle B = 40o. Find the length of the median to line segment AC
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Question 42528: Find the area of ∆ABC, if A is 55 degrees, b=8 meters, and c=14 meters.
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Question 43167: An oil tanker and a cruise ship leave port at the same time and travel straight-line courses at 10 mi/h and 25 mi/h, respectively. Two hours later they are 40 mi apart. What is the angle between their courses?
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