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Questions and Answers
What is the value of x in Arctan 3x + Arctan 2x = 45 deg?
What is the value of x in Arctan 3x + Arctan 2x = 45 deg?
- $1/6$ and $-1$
- $6$ and $-1$
- $1$ and $-6$
- $-1/6$ and $1$ (correct)
Simplify $(1 + \tan x) \cdot (1- \tan x)$
Simplify $(1 + \tan x) \cdot (1- \tan x)$
- $2 - \sec^2 x$ (correct)
- $\cos 2x \div \tan 2x$
- $\sec x + \tan x$
- $\cos x + \tan x$
A triangle with three unequal sides is called:
A triangle with three unequal sides is called:
- Isosceles triangle
- Scalene triangle (correct)
- Equiangular triangle
- Equilateral triangle
From the top of a building, the angle of depression of the foot of a pole is 48 deg 10 min. From the foot of a building, the angle of elevation of the top of a pole is 18 deg 50 min. If the height of the pole is 4m, how high is the building?
From the top of a building, the angle of depression of the foot of a pole is 48 deg 10 min. From the foot of a building, the angle of elevation of the top of a pole is 18 deg 50 min. If the height of the pole is 4m, how high is the building?
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A transmitter with a height of 15m is located on top of a mountain, which is 3.0 km high. What is the farthest distance on the surface of the earth that can be seen from the top of the mountain? Take the radius of the earth to be 6400 km.
A transmitter with a height of 15m is located on top of a mountain, which is 3.0 km high. What is the farthest distance on the surface of the earth that can be seen from the top of the mountain? Take the radius of the earth to be 6400 km.
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