Plane and Spherical Trigonometry

At sunset or at sunrise, the astronomical triangle is

The azimuth angle is always less than

A great circle which passes through the celestial poles and a heavenly body B is called the ________ of B.

The angular distance of a point on the celestial sphere from the horizon is called its

It is the angle at the zenith from the upper branch of the observer's meridian toward the east to the vertical circle of the heavenly body.

The zenith distance of a star is the complement of its

The complement of the declination of a star is called the

Which of the following statements is false?

Which of the following points is equidistant from the vertices of a triangle?

The point of intersection of the altitudes of a triangle is called the

The point of concurrency of the angle bisectors of a triangle is called the

The point inside a triangle that is equidistant from its sides is called the

The point of intersection of the medians of a triangle is called

The line segment which joins the midpoints of two sides of a triangle is parallel to the third side and is what part of the third side?

Sin \(B-A\) is equal to _, when \(B=270\) degrees and A is an acute angle.

If \(\sec A\) is \(5/2\), the quantity \(1-\sin^2 A\) is equivalent to

\((\cos A)^4 - (\sin A)^4\) is equal to

Of what quadrant is A, if \(\sec A\) is positive and \(\csc A\) is negative?

Angles are measured from the positive horizontal axis, and the positive direction is counterclockwise. What are the values of \(\sin B\) and \(\cos B\) in the \(4^{th}\) quadrant?

\(\csc 520^\circ\) is equal to