$log_ab=c\ \ \ \Leftrightarrow\ \ \ a^c=b\\\\log_97=x\ \ \ \Leftrightarrow\ \ \ 9^x=7\\\\9^x=7\ \ \ (and \ \ \ x=log_97)\ \ \ \Rightarrow\ \ \ 9^{\big{log_97}}=7$

3 0

3 years ago

Evaluate each trigonometric equation for θ.

liberstina [14]

Answer:

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

Step-by-step explanation:

Let us revise the trigonometry functions

Sin(x) = opposite/hypotenuse

Cos(x) = adjacent/hypoteouse

Tan(x) = opposite/adjacent

Csc(x) = hypotenuse/opposit

Sec(x) = hypotenues/adjacent

Cot(x) = adjacent/opposite

In the given figure

The opposite side to angle Ф = 8

The adjacent side to angle Ф = 15

Find the hypotenuse using Pythagoras' theorem

$Hypotenuse = \sqrt{8^{2}+15^{2} }$

$Hypotenuse = \sqrt{64+225}$

$Hypotenuse = \sqrt{289}$

$Hypotenuse = 17$

Let us use the rules above to find the trigonometry functions

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

4 0

3 years ago

Help me please need ASAP

yanalaym [24]

Answer:

i belive

Step-by-step explanation:

7 0

2 years ago

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