Let theta be an angle such that tangent of theta = 4/3 and cosine of theta < 0. Find the exact values of the secant of theta and the cosecant of theta.   Why is the secant of theta and the cosecant of theta negative?

Q: A vegetable garden is being planned in between two buildings measuring 20 meters and 45 meters tall…

A: Let p and q be the angle of elevation of smaller and taller buildings respectively from the ground.…

Q: find sin F for the triangle

A: Sine F is the ratio of perpendicular to hypotenuse with respect to the angle F.

Q: Evaluate the six trigonometric functions of the angle θ.

A: Given the figures:

Q: Determine the value of tan theta given that the terminal side of angle intersects the unit circle in…

A: terminal side of angle intersects the unit circle in the first quadrant at   910,y

Q: evaluate cos theta when sin theta = -7/8 and theta is in the IV quadurant.

A:

Q: The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of…

A:

Q: Find the angle for theta

A: The diagram is:

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.