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What is the difficulties of trigonometric function of an angles?

TRIGONOMETRIC FUNCTIONS OF ANY ANGLE


Express the function 120 degree as function of an acute angle?

Example: Express sin 120⁰ as a function of an acute angle (an angle between 0⁰ and 90⁰).Solution:Each angle θ whose terminal side lies in quadrant II, III, or IV has associated with it an angle called the reference angle, alpha (alpha is formed by the x-axis and the terminal side).Since 120⁰ lies on the second quadrant, then alpha = 180⁰ - 120⁰ = 60⁰.Since sine is positive in the second quadrant, sin 120⁰ = sin 60⁰.Example: Express tan 320⁰ as a function of an acute angle.Solution:Since 320⁰ lies on the fourth quadrant, then alpha = 360⁰ - 320⁰ = 40⁰.Since tangent is negative in the fourth quadrant, tan 320⁰ = -tan 40⁰.


What is the arc function for trigonometric relationships?

The trigonometric function of an angle gives a certain value The arc trigonometric function of value is simply the angle For example, if sin (30 degrees) = 0.500 then arc sine ( 0.500) = 30 degrees


Why is clockwise rotation of a terminal angle negative?

In trigonometric terms and diagrams, regular terminal angle rotation is anti-clockwise. This is to keep standards universal across all diagrams.


What are the trigonometric function of an acute angle?

The trigonometric functions are sine, cosine and tangent along with their reciprocals and the inverses. Whether the angle is acute or obtuse (or reflex) makes no difference).


What is sine in trigonometric function?

Sine of an angle (in a right triangle) is the side opposite of the angle divided by the hypotenuse.


What does tangent on a scientific calculator mean?

It is a trigonometric function, equivalent to the sine of an angle divided by the cosine of the same angle.


How do you express complementary angles into a trigonometric function?

The sine of an angle is the cosine of its complement and conversely. The tan of an angle is the reciprocal of its complement.


What is the sign of the trigonometric function for the angle 120 degrees?

it is the square root of 3 divided by 2


What is the cos of angle A?

It is a trigonometric function which converts the angle into a ratio.If the angle A is measured in radians, thencos(A) = 1 - A^2/2! + A^4/4! - a^6/6! + ...


What is SinA0.4540?

SinA0.4540 is a mathematical expression that likely represents the sine function evaluated at an angle of 0.4540 radians. The sine function is a periodic trigonometric function that relates the angle of a right triangle to the ratio of the length of the opposite side to the hypotenuse. The value of SinA0.4540 can be calculated using a scientific calculator or trigonometric tables.


What are the quadrant angles?

Quadrant angles are angles formed in the coordinate plane by the x-axis and y-axis. Each quadrant is a region bounded by the x-axis and y-axis, and is numbered counterclockwise starting from the positive x-axis. The angles in each quadrant have specific characteristics based on their trigonometric ratios, such as sine, cosine, and tangent values. In trigonometry, understanding quadrant angles is crucial for determining the sign of trigonometric functions and solving equations involving angles.