The value of cosN, sinN, tanN, sinP, cosP, and tanP are 3/5, 4/5, 4/3, 3/5, 4/5, and 3/4
What is the trigonometric ratio?
The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
We have a right triangle shown in the picture.
For cosN it is the ratio of the side adjacent to the angle N to the hypotenuse.
The side adjacent = 9 and hypotenuse = 15
[tex]\rm CosN = \frac{9}{15} \Rightarrow \frac{3}{5}[/tex]
For sinN it is the ratio of the side opposite to the angle N to the hypotenuse.
The side opposite = 12 and hypotenuse = 15
[tex]\rm SinN= \frac{12}{15} \Rightarrow \frac{4}{5}[/tex]
For tanN it is the ratio of the side opposite to the angle N to the hypotenuse.
[tex]\rm TanN = \frac{12}{9} \Rightarrow \frac{4}{3}[/tex]
Similarly, we can find the sinP, cosP, and tanP
[tex]\rm SinP =\frac{9}{15} \Rightarrow \frac{3}{5}[/tex]
[tex]\rm CosP =\frac{12}{15} \Rightarrow \frac{4}{5}[/tex]
[tex]\rm TanP =\frac{9}{12} \Rightarrow \frac{3}{4}[/tex]
Thus, the value of cosN, sinN, tanN, sinP, cosP, and tanP are 3/5, 4/5, 4/3, 3/5, 4/5, and 3/4
Know more about trigonometry here:
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