Question

If tanA=3/4 then find the other trigonometric ratio of angle A

Answer 1

$\tan \left(a\right)=\frac{3}{4}$

$\tan \left(x\right)=a\quad \Rightarrow \quad \:x=\arctan \left(a\right)+\pi n$

$a=\arctan \left(\frac{3}{4}\right)+\pi n$

$a=0.64350\dots +\pi n$.

The final answer in radians is:

$a=0.64350\dots +\pi n$

The final answer in degrees is:

$a=36.87^{\circ \:}+180^{\circ \:}n$

According to this: soh cah toa

toa is:

tan=$\frac{opposite}{adjacent}$

therefore,

the answer as trigonometric ratio is:

tan A = perpendicular/base=3/4

So P=3x and B=4x(let).

By Pythagoras theorem the H =5x.

So sin A =3/5,

cos A=4/5,

cot A=4/3

cosec A=5/3

secA=5/4

Hope this helps.....

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Answer 2

Answer:

.

The final answer in radians is:

The final answer in degrees is:

According to this: soh cah toa

toa is:

tan=

therefore,

the answer as trigonometric ratio is:

tan A = perpendicular/base=3/4

So P=3x and B=4x(let).

By Pythagoras theorem the H =5x.

So sin A =3/5,

cos A=4/5,

cot A=4/3

cosec A=5/3

secA=5/4

Hope this helps.....

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