MathsSec 30

Sec 30

What is Trigonometry?

Trigonometry is the study of the relationships between the sides and angles of triangles. It can be used to solve problems involving triangles, including calculating distances and angles. Trigonometry is also used in many areas of mathematics, including calculus and physics.

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    Trigonometric Ratios-

    There are six basic trigonometric ratios, which are also called functions. These ratios are used to calculate the angles of triangles.

    The six basic trigonometric ratios are sine, cosine, tangent, cosecant, secant, and cotangent.

    The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

    The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

    The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

    The cosecant of an angle is the ratio of the length of the hypotenuse to the length of the opposite side.

    The secant of an angle is the ratio of the length of the hypotenuse to the length of the adjacent side.

    The cotangent of an angle is the ratio of the length of the adjacent side to the length of the opposite side.

    What are Trigonometric Ratios?

    The trigonometric ratios are six ratios that are used to describe the relationships between the sides and angles of a right triangle. The six ratios are: sine, cosine, tangent, cotangent, secant, and cosecant.

    Before Moving Ahead a Little Information About what a Right-Angled Triangle is?

    A right triangle is a triangle in which one of the angles is a right angle. The other two angles are acute angles.

    Trigonometric Ratios for Sec 30-

    degrees

    The trigonometric ratios for sec 30-degrees are:

    sin 30-degrees = 0.5
    cos 30-degrees = 0.866
    tan 30-degrees = 1.0

    Derivation of Sec 30 value –

    Sec 30 value can be derived by using the following formula –

    Value = Price × (1 + Yield)

    Where,

    Price = Current market price

    Yield = Annual dividend yield

    Questions to be Solved on Sec 30 Degree-

    Angled Triangles

    1. What is the length of the hypotenuse of a 30-degree angle triangle?

    2. What is the length of one of the side angles of a 30-degree angle triangle?

    3. What is the length of the other side angle of a 30-degree angle triangle?

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