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) =
sec(θ) =
cot(θ) =
In respect of angle R (63°), side RS(23) is hypotenuse , ST(10.4) is opposite and RT is adjacent.
cos(63°) =
sec(63°) =
cot(63°) =
Now, in respect of angle S(27°), hypotenuse is RS(23), adjacent is ST(10.4) and opposite is RT.
So, cos(27°) =
sec(27°) =
cot(27°) =
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