EVALUATE OF COMPOSITON OF INVERSE TRIGONOMETRIC FUNCTIONS

The domain and range of a relation are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively

Evaluate the following :

Problem 1 :

Solution :

For what angle measure of cosine, we get -1/2. Range of cos-1 function is [0, π]

Using ASTC formula, in 2nd quadrant and in 3rd quadrant, we have negative sign for cosine.

So, the required angle = π - (π/3)

= 2π/3

Problem 2 :

Solution :

For what angle measure of cosine, we get 1/2. Range of cos-1 function is [0, π]

Problem 3 :

Solution :

Problem 4 :

Solution :

Problem 5 :

Solution :

Problem 6 :

Solution :

Problem 7 :

Solution :

Problem 8 :

Solution :

Problem 9 :

Solution :

Problem 10 :

Solution :

Recent Articles

  1. Graphing Exponential Growth and Decay Worksheet

    Dec 08, 23 08:03 AM

    graphing-exponential-growth-and-decay-s1
    Graphing Exponential Growth and Decay Worksheet

    Read More

  2. Finding the Specific Term from the Given Explicit Formula Worksheet

    Dec 08, 23 07:32 AM

    Finding the Specific Term from the Given Explicit Formula Worksheet

    Read More

  3. Finding Roots of Complex Numbers Using De Moivres Theorem Worksheet

    Dec 08, 23 07:10 AM

    Finding Roots of Complex Numbers Using De Moivres Theorem Worksheet

    Read More