Find the value of cos(cos-1(45)+sin-1(45)) - Mathematics

Find the value of `cos[cos^-1 (4/5) + sin^-1(4/5)]`

Sum

`cos[cos^-1 (4/5) + sin^-1(4/5)]`

We know that `sin^-1x + cos^-1x = pi/2`

`cos[cos^-1 (4/5) + sin^-1(4/5)] = cos pi/2`` = 0

shaalaa.com

The Cosine Function and Inverse Cosine Function

Is there an error in this question or solution?

Chapter 4: Inverse Trigonometric Functions - Exercise 4.2 [Page 143]

Chapter 4 Inverse Trigonometric Functions
Exercise 4.2 | Q 8. (i) | Page 143

Find all values of x such that – 6π ≤ x ≤ 6π and cos x = 0

Find all values of x such that – 5π ≤ x ≤ 5π and cos x = 1

State the reason for `cos^-1 [cos(- pi/6)] ≠ - pi/6`

Find the principal value of `cos^-1 (1/2)`

Find the value of `2cos^-1 (1/2) + sin^-1 (1/2)`

Find the value of `cos^-1(1/2) + sin^-1( - 1)`

Find the value of `cos-1 [cos pi/7 cos pi/17 - sin pi/7 sin pi/17]`

Find the domain of `f(x) = sin^-1 ((|x| - 2)/3) + cos^-1 ((1 - |x|)/4)`

Find the domain of `g(x) = sin^-1x + cos^-1x`

For what value of x, the inequality `pi/2 < cos^-1 (3x - 1) < pi` holds?

Find the value of `cos^-1(cos((4pi)/3)) + cos^-1 (cos((5pi)/4))`.