Question

If sin θ = 7 / 25 then find the value of all other T-ratios.​

Answer 1

Answer:

Step-by-step explanation:

the answer is given down for other values such as

cosec=1/sin

sec=1/cos

cot=1/tan

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Answer 2

Answer:

Step-by-step explanation:

We know,

sinθ =  $\frac{opposite side}{hypotenuse}$ = $\frac{7}{25}$

That is,

opposite side = 7cm

hypotenuse side = 25cm

hypotenuse² = opposite²+adjacent²

    adjacent² = hypotenuse²-opposite²

                    = 25²-7²

                    = 625-49

                    = 576

     adjacent  = √576

                    = 24cm

cosθ = $\frac{adjacent}{hypotenuse}$ = $\frac{24}{25}$

tanθ  = $\frac{opposite}{adjacent}$    = $\frac{7}{24}$

cosecθ = reciprocal of sinθ = $\frac{hypotenuse}{opposite}$ = $\frac{25}{7}$

secθ  = reciprocal of cosθ = $\frac{hypotenuse}{adjacent}$ = $\frac{25}{24}$

cotθ  = reciprocal of tanθ  = $\frac{adjacent}{opposite} = \frac{24}{7}$