in−1(x) + cos−1(x) =  ? 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 43E
icon
Related questions
Question
100%

 Prove that 

sin−1(x) + cos−1(x) = 
?
2
.

 

Start by taking arcsin of both sides of the following identity.
Consider the following.
y = sin-1(x) + cos-1(x)
(a) Graph the function.
X
-2
-1
1
-2
-1
y
y
2
X.
-2
-1
-2
1
(b) Prove that sin-(x) + cos-1(x) =
Start by taking arcsin of both sides of the following identity.
sin(a-즉) - -cos(a)
a
Now let a = cos-1(x) so that cos(a) = x.
cos-(x) - =
cos--(x)- 플 - - (|
Therefore, sin-(x) + cos-1(x) = 5.
Transcribed Image Text:Consider the following. y = sin-1(x) + cos-1(x) (a) Graph the function. X -2 -1 1 -2 -1 y y 2 X. -2 -1 -2 1 (b) Prove that sin-(x) + cos-1(x) = Start by taking arcsin of both sides of the following identity. sin(a-즉) - -cos(a) a Now let a = cos-1(x) so that cos(a) = x. cos-(x) - = cos--(x)- 플 - - (| Therefore, sin-(x) + cos-1(x) = 5.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Half-angle, Double-angle, and Product-Sum Formulae
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning