Find the exact value of sec30°.

Q: 5. Find the quadrant where tan 405° lies, its reference angle, and also the exact value.

A:

Q: Use an appropriate Half-Angle Formula to find the exact value of the expression. tan 12

A:

Q: Consider the gridlines in this plot to be 5 units apart.   sin(θ) = cos(ϕ) = tan(θ) = tan(ϕ) =

A: We name the triangle ABC.

Q: Convert the angle 45° in degrees to radians. Express your answer as a multiple of π.

A: Given angle in degree: Now using, Degrees to the radians conversion formula:

Q: Convert the angle 2.5 radians to degrees, rounding to the nearest 1oth.

A: Since,  π radian=180°1radian=180°π Hence, to convert radian into degree, multiply by a factor of…

Q: Use the reference angle to find the exact value of the given expression. 117 cos 4

A: Given : cos11π4

Q: Convert the angle 250° in degrees to radians.Round to two decimal places.

A:

Q: Give all six trig function values for angle 0 if tan 0 = - and 0 is in quadrant 4.

A:

Q: Determine the value of each angle to the nearest degree   sin A = 0.1265

A:

Q: Use the Half-angle Formulas to find the exact value of each expression. cos 165°

A: Assume an angle x. According to the half-angle formula, cos x2=±1+cos x2. The expression cos 165°…

Q: Given cos 0 = , find the value of sec 0 12

A: cosθ=-712

Q: Give the answer to the trig function and the quadrant where the angle terminates. tan 300° = %3D

A:

Q: Find the quadrant in which θ lies from the information given. sin(θ) < 0 and cos(θ) < 0

A: To find the quadrant in which theta (ᶿ) lies.

Q: Convert the angle 18° in degrees to radians.Round to two decimal places.

A:

Q: If cos7A = sin(A-60) where 7A is an acute angle , Find the value of A

A: Solution Given cos 7A = sin ( A - 6⁰ ) sin ( 90⁰ - 7A )= sin ( A - 6⁰ ) Since ( 90⁰ - 7A ) and  ( A…

Q: Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the…

A:

Q: Simplify the trigonometric expression: sin B+ cos BcotB 4.

A: Given that: sinB+cosB.cotB

Q: Complete the half-angle identity. sin 스 =

A: To express sin(x/2) in terms of trigonometric ratios of x.

Q: Convert the angle 45° in degrees to radians.Express your answer as a multiple of π.

A: To convert 45° to radian. Solution: We know that 1°=π180° radian To convert degree into radian we…

Q: Change the degrees to radians, and the radians to degrees. 1.310° 4Tt 2. 6.

A: Degree to radians changing formula is, If x is in degree then, x0= π·x180c Here,  3100=…

Q: Use an appropriate Half-Angle Formula to find the exact value of the expression. tan(15°)

A:

Q: Use the given point on the terminal side of angle theta, to find the value of the tangent: (-14, 16)…

A: given point is -14,16 on the terminal side of the angle θ find tanθ

Q: What is the reference angle associated with cos 240o ?

A: Answer is- -1/2 Explanation is given below....

Q: Convert the angle 18° in degrees to radians.Express your answer as a multiple of π .

A:

Q: Use a reference angle to find the exact value of cos 210 degree        -1/2

A: Let the given cosing angle be y - y = cos210Angle 210° lies in the third quadrant.So, we can take…

Q: Convert the angle 270° to radians. Give the exact value and use pi for T. %3D

A: Angle problem.....

Q: find the angle Sin A = 0.5

A:

Q: Convert the angle 1 radian to degrees, rounding to the nearest 1oth.

A:

Q: Write csc(t) in terms of cot(t) if the terminal point of t is in quadrant II.

A: Given To write csc (t) in terms cot(t) t is in II quadrant

Q: Use the appropriate compound angle formula to find the exact value of cos 3

A:

Q: Use an appropriate Half-Angle Formula to find the exact value of the expression. cos (2)

A:

Q: 27T. P(-

A:

Q: Find the quadrant in which θ lies from the information given. sec(θ) > 0 and tan(θ) > 0

A: Using the below chart

Q: Find the quadrant where tan 405° lies, its reference angle, and also the exact value.

A:

Q: Determine the value of 0, in radians, to two decimal places, if: sec(0) = 1.33, for 0 < 0 < 2n.

A:

Q: Determine the value of angle A that corresponds to tan A = 1.8473. Round the answer to the nearest…

A:

Q: Find the exact value. a. cos, 2.

A: a. Obtain the value of cos3π2, cos3π2=cos2π-π2=cosπ2=0   Thus, the exact value of cos3π2 is 0.

Q: Convert the angle 15° to radians. Express your answer as a multiple of π.

A: Our Aim is to convert the angle 15° to radians and to express answer asa multiple of π.

Q: Use a reference angle to write sec25π/36 in terms of the secant of a positive acute angle in…

A: Use a reference angle to write sec25π/36 in terms of the secant of a positive acute angle in…

Q: Convert the angle 300° in degrees to radians. Express your answer as a multiple of π.

A: To convert the angle 300° in degrees to radians.

Q: Convert the angle 3 radians in radians to degrees.Round to two decimal places.

A: 3 radians

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.