Lakshesh Verma Lakshesh Verma

Lecture 3 : Trigonometric function of sum and difference of two angles

  • Trigonometric Functions Assignments 1

    Prove that: cos 6x = 32 cos6 x - 48 cos4 x + 18 cos2 x - 1

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  • Trigonometric Functions Assignments 2

    Prove that cos 4x = 1 - 8sin2 x cos2 x

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  • Trigonometric Functions Assignments 3

    Prove that 

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  • Trigonometric Functions Assignments 4

    Prove that cot x cot 2x - cot 2x cot 3x - cot 3x cot x = 1

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  • Trigonometric Functions Assignments 5

    Prove that 

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  • Trigonometric Functions Assignments 6

    Prove that 

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  • Trigonometric Functions Assignments 7

    Prove that 

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  • Trigonometric Functions Assignments 8

    Prove that 

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  • Trigonometric Functions Assignments 9

    Prove that 

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  • Trigonometric Functions Assignments 10


    Prove that 

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  • Trigonometric Functions Assignments 11


    Prove that cot 4x (sin 5x + sin 3x) = cot x (sin 5x - sin 3x)

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  • Trigonometric Functions Assignments 12

    Prove that sin 2x + 2sin 4x + sin 6x = 4 cos2 x sin 4x

     

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  • Trigonometric Functions Assignments 13

    Prove that cos2 2x - cos2 6x = sin 4x sin 8x

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  • Trigonometric Functions Assignments 14

    Prove that sin2 6x - sin2 4x = sin 2x sin 10x

     

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  • Trigonometric Functions Assignments 15

    Prove that

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  • Trigonometric Functions Assignments 16

    Prove that sin (n + 1)x sin (n + 2)x + cos (n + 1)x cos (n + 2)x = cos x

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  • Trigonometric Functions Assignments 17


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  • Trigonometric Functions Assignments 18

    Prove that

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  • Trigonometric Functions Assignments 19

    Prove that: 

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  • Trigonometric Functions Assignments 20

    Prove that:

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  • Trigonometric Functions Assignments 21

    Find the value of:

    (i) sin 75°

    (ii) tan 15°

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  • Trigonometric Functions Assignments 22

    Prove that 

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  • Trigonometric Functions Assignments 23

    Prove that 

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  • Trigonometric Functions Assignments 24

    Prove that 

     

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  • Trigonometric Functions Assignments 25

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    • Description:-

    Lecture 3:
    Today, we will discuss the next topic, i.e; Trigonometric function of sum and difference of two angles of Chapter 3 Trigonometric Functions.
    Objectives:
    1. Concept of  Trigonometric Function of sum and difference of two angles. 
    Important Tip: 
    This lecture is about Trigonometric function of sum and difference of two angles. In this topic, you’ll get to learn about the trigonometric functions of sum and difference of two angles. Have a clear focus on these topics as it help you in further studies also.
    Please go through the topic, their notes. Properly do the assignments, watch videos of the concerned topics. If you have any doubt about any topic/point please submit it in the discussion section... it will be answered as soon as possible.
    After all of this... when you feel confident about the particular topic/chapter then take the quiz.

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