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 :

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