Assume that 0 < x < π/2 and 0 < y< π/2. Find the exact value of sin(x - y) if sin(x) =4/9 and sin(y) =1/4

Solved

Show answers

Ответ:

trin520

07.03.2022

Mathematics

$\boxed{\mathrm{view \: explanation}}$

Step-by-step explanation:

We can find the value of the hypotenuse by applying Pythagorean theorem.

$a^2 + b^2 = c^2\\5^2 + 12^2 = c^2\\25+144= c^2\\169 = c^2\\\sqrt{169} =\sqrt{c^2 } \\13=c$

sin θ = opposite/hypotenuse

$sin( x )= \frac{5}{13}$

cos θ = adjacent/hypotenuse

$cos( y )= \frac{5}{13}$

The relationship of sin x and cos y is that they are equal.

sin (x) = cos (y)

Ratio of sin x and cos y:

$\frac{sin(x)}{cos(y)} =1$

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice