Pre-calculus trigonometric functions

Anonymous
timer Asked: Dec 3rd, 2017
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Question description

Pre-calculus trigonometric functions. Evaluate the expression: three multiple choice questions.

Evaluate the expression. sin(90 A) B) C) D) sin( cos( tan( cot( A B C D )*tan( ) ) ) ) )*sec( ) Evaluate the expression. tan(90- )*tan( A) 1 B) 0 C) sec( ) D) cot( ) A B C D )*sec( )

Tutor Answer

jesusale932
School: New York University

Here is my answer :)

First we need to find DC

π‘‘π‘Žπ‘›ΞΈ =

𝐷𝐢
𝐡𝐢

π‘‘π‘Žπ‘›52 =

𝐷𝐢
8

𝐷𝐢 = π‘‘π‘Žπ‘›52 βˆ— 8 = 10.24
Then, we are going to find distance ABC:
tan⁑(𝛼) =

𝐷𝐢
𝐴𝐡𝐢

tan⁑(42) =

10.24
𝐴𝐡𝐢

𝐴𝐡 + 𝐡𝐢 =

10.24
= 11.4
tan⁑(42)

So, AB will be the difference between ABC – BC = AB
𝐴𝐡 = 11.4 βˆ’ 8

𝑨𝑩 = πŸ‘. πŸ’

Evaluate the expression.
sin(90 A)
B)
C)
D)

sin(
cos(
tan(
cot(

)*tan(

)*sec(

)

)
)
)
)

A
B
C
D

sin(𝑒 Β± 𝑣) = sin 𝑒 cos 𝑣 Β± sin 𝑣 cos 𝑒

sin(90 βˆ’ πœƒ) = sin 90 cos πœƒ βˆ’ sin πœƒ cos 90
sin(90 βˆ’ πœƒ) = cos πœƒ
Substituting we get,
sin(90 βˆ’ πœƒ) βˆ— π‘‘π‘Žπ‘›(πœƒ) βˆ— 𝑠𝑒𝑐(πœƒ) = 𝑐π...

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Review

Anonymous
Outstanding Job!!!!

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