SOLUTION: Please help me with my homework!!!!! Use trigonometric identities to transform the left side of the equation into the right side (0 < 𝛼

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Question 1203876: Please help me with my homework!!!!!

Use trigonometric identities to transform the left side of the equation into the right side (0 < 𝛼 < 𝜋/2).
tan 𝛼 cos 𝛼 = sin 𝛼
tan 𝛼 cos 𝛼 =
sin 𝛼

· cos 𝛼
= sin 𝛼

Use trigonometric identities to transform the left side of the equation into the right side
0 < 𝜃 <
𝜋
2
.
cot(𝜃) sin(𝜃) =

sin(𝜃)
= cos(𝜃)

Use trigonometric identities to transform the left side of the equation into the right side (0 < 𝜃 < 𝜋/2).
1 + cos 𝜃

1 − cos 𝜃
=
1 −

=
sin2 𝜃
Use trigonometric identities to transform the left side of the equation into the right side (0 < 𝜃 < 𝜋/2).
sin2 𝜃 − cos2 𝜃
=
sin2 𝜃 −
1 −

=
2 sin2 𝜃 − 1

Use trigonometric identities to transform the left side of the equation into the right side (0 < 𝜃 < 𝜋/2).
sin 𝜃
cos 𝜃
+
cos 𝜃
sin 𝜃
= csc 𝜃 sec 𝜃
sin 𝜃
cos 𝜃
+
cos 𝜃
sin 𝜃
=
sin2 𝜃 +

cos 𝜃 sin 𝜃

=

1

= csc 𝜃 sec 𝜃

Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!
next time don't copy and past, it is very hard to read what question is

Use trigonometric identities to transform the left side of the equation into the right side
()
proof that left side is equal to right side

Use trigonometric identity:

Use trigonometric identities to transform the left side of the equation into the right side
()
.

Use trigonometric identity:

Use trigonometric identities to transform the left side of the equation into the right side ()

........use identity , then

Use trigonometric identities to transform the left side of the equation into the right side ()

.....use identity , then

Use trigonometric identities to transform the left side of the equation into the right side ()

use identities: and

use identity

...simplify

SOLUTION: Please help me with my homework!!!!! Use trigonometric identities to transform the left side of the equation into the right side (0 < 𝛼 < 𝜋/2). tan 𝛼 cos 𝛼 = sin