Question

Show that for all real x, sin^x + cos^x =1 ( N cert class 11)​

Answer 1

Answer:

The topics and subtopics covered in trigonometric functions class 11 include:

Introduction

Angles

Trigonometric Functions

Trigonometric Functions of Sum and Difference of Two Angles

Introduction to Trigonometry

The word “ Trigonometry” is derived from the Greek word “trigon” and “metron”, which means measuring the sides of a triangle. Trigonometry is a branch of Mathematics, which helps to study the relationship between the angles and side lengths of a right triangle. In the earlier classes, we have learnt the different trigonometric ratios of the right triangle. In trigonometric functions class 11, we are going to study the generalised concepts of the trigonometric functions and its properties.

Angles

An angle is a measure, which gives the rotation of a ray about its initial position. In other words, the measurement of an angle is the amount of rotation performed to obtain the terminal side from the initial side. The angle can be measured in two different ways, such as

Degree: If rotation of the ray from initial side to the terminal side is (1/360)th of the revolution, then the angle is considered to have a measure of one degree (1°).

Radians: The angle subtended at the centre by an arc length of one unit in a unit circle is considered to have a measure of 1 radian.

Relation Between Degree and Radian

As we know that the circle subtends at the centre of an angle whose radian measures 2π, and its degree measures 360 degrees.

Hence, we get

2π = 360 degrees

Or

π radian = 180 degrees.

Therefore, 1 Radian = 180°/π

Hence, 1 Radian = 57°16’ approximately

Also, 1 degree can be written as

1° = π/180 radian = 0.01746 radians approximately.

Explanation:

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