Question

if tan a equal to 4 by 3 find the other trigonometric ratios of the angles a​

Answer 1

Answer:

tanA=4/3

opp=4

adj=3

hyp=5

sinA=4/5

cosA=3/5

cosecA=5/4

secA=5/3

cotA=3/4

check....

Answer 2

Let's as first draw a triangle ABC

Now, we know that

❥Tan A = BC/AC = 4/3

Therefore, if BC = 4k, Then AB= 3k, Where k is a positive number

Now, by using Pythagoras theorem, we have

❥AC²=AB²+BC =(4k)²+(3k)²=25k²

So, AC=5k

Now, we can write all the trigonometric ratios using their definitions.

❥sin A = BC/AC = 4k/5k = 4/5

❥cos A = AB/AC = 3k/5k = 3/5

Therefore,

❥cot A = 1/tan A = 3/4

❥ cosec A = 1/sin A =5/4 and

❥sec A = sec A = 1 /cos A =5/3