Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
The correct ratios are: cos 27=23/RT, sec 27= 23/10.4 and cot 63 = RT/10.4
What is trigonometry ratio in tringle?
- Trigonometric ratios are the ratios of the length of sides of a triangle.
- These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
- The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios.
In triangle RST, angle T= 90° and angle R= 63°
As the total of all angle in any triangle is 180°, so the measure of the angle S = 180°- (90°+63°)
S= 180°- 153°
S= 27°
According to the rule of trigonometric ratios,
cos(θ) = [tex]\frac{hypotenuse}{opposite}[/tex]
sec(θ) = [tex]\frac{hypotenuse}{adjacent}[/tex]
cot(θ) = [tex]\frac{adjacent}{opposite}[/tex]
In respect of angle R (63°), side RS(23) is hypotenuse , ST(10.4) is opposite and RT is adjacent.
cos(63°) = [tex]\frac{23}{10.4}[/tex]
sec(63°) = [tex]\frac{23}{RT}[/tex]
cot(63°) = [tex]\frac{RT}{10.4}[/tex]
Now, in respect of angle S(27°), hypotenuse is RS(23), adjacent is ST(10.4) and opposite is RT.
So, cos(27°) = [tex]\frac{23}{RT}[/tex]
sec(27°) = [tex]\frac{23}{10.4}[/tex]
cot(27°) = [tex]\frac{10.4}{RT}[/tex]
Learn more about trigonometry ratio
brainly.com/question/13434113
#SPJ4
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.
