622 Answered Questions for the topic Trig

10/30/21

Verify: (1+cos squared theta)/(sin squared theta) = 2 csc squared theta - 1
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10/30/21

solve algebraically 2sec theta tan theta + 2sec theta + tan theta +1 = 0 with exact solutions in the interval [0,2pi]
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10/24/21

Use of trig formulas
a) 1+cos(8a)=?, given that 1+cos(2a)=2cos2(a)b) sin2(4a)=?, given that sin(2a)=2sin(a)*cos(a)
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10/22/21

If tan (a) = √3, find tan(60°+a)
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10/20/21

Prove the following trigonomteric identity
How to solve this kind of problem?(2cos2(-a) / 1-sin(a)) + 2-sin(a) = 2
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10/04/21

A 850-kg sports car accelerates from rest to 95 km/h in 5.0 s

A 850-kgkg sports car accelerates from rest to 95 km/hkm/h in 5.0 ss . What is the average power delivered by the engine?Express your answer to two significant figures and include the appropriate... more
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10/04/21

The first car has twice the mass of a second car, but only half as much kinetic energy. When both cars increase their speed by 6.0 m/s , they then have the same kinetic energy.
The first car has twice the mass of a second car, but only half as much kinetic energy. When both cars increase their speed by 6.0 m/sm/s , they then have the same kinetic energy. What were the... more
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10/04/21

What is the minimum work needed to push a 850 -kg car 750 m up along a 9.5 ∘ incline? Ignore friction. Express your answer to two significant figures and include the appropriate units.
What is the minimum work needed to push a 850 -kgkg car 750 mm up along a 9.5 ∘∘ incline? Ignore friction.Express your answer to two significant figures and include the appropriate units.
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10/04/21

A 850-kg sports car accelerates from rest to 95 km/h in 5.0 s .
A 850-kgkg sports car accelerates from rest to 95 km/hkm/h in 5.0 ss . What is the average power delivered by the engine?Express your answer to two significant figures and include the appropriate... more
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10/04/21

A spring with k = 55 N/m hangs vertically next to a ruler. The end of the spring is next to the 18-cm mark on the ruler.
A spring with kk = 55 N/mN/m hangs vertically next to a ruler. The end of the spring is next to the 18-cmcm mark on the ruler. If a 3.0-kgkg mass is now attached to the end of the spring, and the... more
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09/04/21

A wheel of radius 6 inches is rotating at 0.5 space radians per second. What is the linear speed v in inches per second (in/s)?
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09/04/21

A bicycle with a 26-inch diameter wheel is traveling at 20 miles per hour. Find the angular speed of the wheels, in radians per minute, rounding to the nearest whole number.
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08/02/21

Find critical numbers of the function.
Find the critical numbers of the function:(sin(x))^2 + cos(x) 0 < x < 2𝜋Thank you in advance for any guidance!
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07/30/21

(Falling ladder question); A ladder 25 ft long is leaning against a wall. The base of the ladder is pulled away from wall at rate of 2ft/sec.
A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second.(a) What is the velocity of the top of the ladder... more
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07/23/21

Prove the trig identities
3, 9 and 7. Use the above numbers to prove only three of these trig identities.sin x/ 1 + cos x = 1 - cos x/sin x1/ 1 + Cos x = csc^2 x - cot x/sinx x-sin x - cos x cot x= - csc x1 + tan x/ 1 + cot... more
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07/23/21

Prove the following trig identities
3, 9 and 7. Use the above numbers to prove only three of these trig identities.sin x/ 1 + cos x = 1 - cos x/sin x1/ 1 + Cos x = csc^2 x - cot x/sinx x-sin x - cos x cot x= - csc x1 + tan x/ 1 + cot... more
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07/22/21

Solve this equation for 0° ≤ 𝜃 ≤ 360°. 2𝑐𝑜𝑠𝑥 − √3 = 0
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07/22/21

Solve this equation for 0° ≤ 𝜃 ≤ 360°. 25 + 15𝑡𝑎𝑛𝜃 = 12𝑡𝑎𝑛𝜃 + 28

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07/22/21

Find the exact value of each trigonometric ratio.
a) cos30°b) sin225°
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07/22/21

The coordinates of a point P on the terminal arm of an ∠𝜃 in standard position are given, where 0° ≤ 𝜃 ≤ 360°. Determine the exact values of 𝑠𝑖𝑛𝜃, 𝑐𝑜𝑠𝜃, 𝑎𝑛𝑑 𝑡𝑎𝑛𝜃.
a) 𝑃(4,5) b) 𝑃(−3,−6)
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07/22/21

In ∆ABC, where ∠A= 20°, a = 2 cm, and b = 5 cm
Determine the number of triangles that could be drawn with the given measures. Then, find the measures of the other angles and the other side in each possible triangle. Round to the nearest tenth,... more
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07/22/21

In ∆XYZ, where ∠X = 43°, x = 2 m, and y = 4 m
Determine the number of triangles that could be drawn with the given measures. Then, find the measures of the other angles and the other side in each possible triangle. Round to the nearest tenth,... more
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07/22/21

Solve the following triangle, rounding answers to the nearest tenth if necessary. In ∆𝐸𝐹𝐺, ∠𝐹 = 67.8°, 𝑓 = 12.5 𝑚, 𝑎𝑛𝑑 𝑒 = 9.8 m
This is a right triangle, I believe.
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07/22/21

Solve the following triangle, rounding answers to the nearest tenth if necessary. In ∆RST, r = 12.6 m, s = 11.5 m, and t = 13.2 m
This is a right triangle, I believe.
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07/22/21

Solve each triangle. Round each measure to the nearest tenth of a unit.

a)) In ∆ABC, ∠B=90 degrees, ∠C=47.1 degrees, c=9.7 cmb)) In 𝐼𝑛 ∆𝐾𝐿𝑀,∠𝐾 = 90 degrees , 𝑚 = 12.4 𝑐𝑚 𝑎𝑛𝑑 𝑙 = 8.8𝑐m
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