Evaluate or simplify the expressions

User Generated

NOBFAVPU21

Mathematics

Description

Evaluate the expression

1. tan(arctan(9))

2. sin−1(sin(7π/3))

Simplify the expression

3. sin(tan−1 x)

4. tan(sin−1 x)

5. cos(2 tan−1 x)

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

1. tan(arctan(9))  =9

2. sin−1(sin(7π/3))  = 7 pi /3

Simplify the expression

3. sin(tan−1x) = x/sqrt(1+x2)           ;sin theta = tan theta/sec theta = tan theta/sqrt(1+tan2  theta)

4. tan(sin−1x)= x/sqrt(1-x2)            ;tan theta = sin theta/cos theta

5. cos(2 tan−1x) = (1-x2)/(1+x2)        ;cos 2 theta = (1-tan2 theta)/(1+tan 2  theta)



Anonymous
Excellent! Definitely coming back for more study materials.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags