Complete the steps by applying trig identities to show that the left hand side of the equation is equivalent to the right hand side. tan x = csc? a · tan? a – 1 Steps: csc? tan? æ – 1 = tan? x

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 44E
icon
Related questions
Question
1 of 5
Complete the steps by applying trig identities to show
that the left hand side of the equation is equivalent to
the right hand side.
tan? x = csc² x · tan² x – 1
Steps:
csc? x · tan? x – 1
= tan? r
cos a
sin?
sin? x – sin? x
sin
::
sin a
::
sin r
1
:: sec? x
1
::
cos z
::
cos? r
sin a
cos? r
cos4 a
1-sin² æ
::
cos? z
cos² x
cos? r
sin? x
sec? r
::
tan? r
:: sec? x ·
sin? x -
::
sin a
::
cos? r
1
::
cos x
cos a
sin a
sin? z
1
tan? x
sin?,
: sec?
::
cos? a
!!!
Transcribed Image Text:1 of 5 Complete the steps by applying trig identities to show that the left hand side of the equation is equivalent to the right hand side. tan? x = csc² x · tan² x – 1 Steps: csc? x · tan? x – 1 = tan? r cos a sin? sin? x – sin? x sin :: sin a :: sin r 1 :: sec? x 1 :: cos z :: cos? r sin a cos? r cos4 a 1-sin² æ :: cos? z cos² x cos? r sin? x sec? r :: tan? r :: sec? x · sin? x - :: sin a :: cos? r 1 :: cos x cos a sin a sin? z 1 tan? x sin?, : sec? :: cos? a !!!
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Solving Trigonometric Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus 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