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Verify the identity.2tan 01+sec + = secTo verify the identity, start with the more complicated side and transform it to look like the other side. Chooseat each step.2tan 01 +sec 0+11 +sec 0+ 1(Do not factor.)1+sec 0+1- secEnter your answer in each of the answer boxes.12/06/19Practice Final Exam7MacBook Air

Question

Hw 2 

 

solving out the verification

Verify the identity.
2
tan 0
1+
sec + = sec
To verify the identity, start with the more complicated side and transform it to look like the other side. Choose
at each step.
2
tan 0
1 +
sec 0+1
1 +
sec 0+ 1
(Do not factor.)
1+
sec 0+1
- sec
Enter your answer in each of the answer boxes.
12/06/19
Practice Final Exam
7
MacBook Air
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Verify the identity. 2 tan 0 1+ sec + = sec To verify the identity, start with the more complicated side and transform it to look like the other side. Choose at each step. 2 tan 0 1 + sec 0+1 1 + sec 0+ 1 (Do not factor.) 1+ sec 0+1 - sec Enter your answer in each of the answer boxes. 12/06/19 Practice Final Exam 7 MacBook Air

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check_circleAnswer
Step 1

Given:

tan e
1+
sec e
sec0 1
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tan e 1+ sec e sec0 1

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Step 2

Identity used:

cos2 xsin2x =1
Property 1
sin
Property 2:
tane
cos e
1
Property 3:
sec0
cos e
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cos2 xsin2x =1 Property 1 sin Property 2: tane cos e 1 Property 3: sec0 cos e

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Step 3

Now LHS,...

sin e
tan2 e
1+
cos e
By Property 2 & 3]
-1+
sec0 1
1
+1
cos e
sin e
tan2 e
1+
sec01
-1+
1+cose
cose
sine
1+
tan2 e
1+
sec01
cose
cos2 0
1+cose
sin e
=1 +
tan2 e
1+
sec0+1
cos e
X
cos 1+cos e)
tan e
1+
sin2 e
= 1+
cose(1+cos )
sec01
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sin e tan2 e 1+ cos e By Property 2 & 3] -1+ sec0 1 1 +1 cos e sin e tan2 e 1+ sec01 -1+ 1+cose cose sine 1+ tan2 e 1+ sec01 cose cos2 0 1+cose sin e =1 + tan2 e 1+ sec0+1 cos e X cos 1+cos e) tan e 1+ sin2 e = 1+ cose(1+cos ) sec01

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Tagged in

Math

Trigonometry

Trigonometric Ratios

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