Que.32 If sinA=3/4, calculate cosA and tanA.
maheshkd:
the value of sin may be given as 3/5 . perhaps u might have wrote mistaken there. But alright this is the way to have values of trigonometric ratios.
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sine is the ratio of perpendicular to hypotenuse.
Means 3 is perpendicular and then hypotenuse is 4 as given.
So calculate Base from pythogoras theorem.
and base to hypotenuse ratio is cosine only.
Now take ratio of sine to cosine ,that is tan.
Alternatively
follow Identity
( sin(x) )^2 + ( cos(x) )^2 = 1
then (cos(x))^2 = 1 - (sin(x))^2
so cos = √[ 1 - (sin(x))^2 ]
put x as 3/4. and get cosine.
Take ratio of sine to cosine that will be the tangent
Means 3 is perpendicular and then hypotenuse is 4 as given.
So calculate Base from pythogoras theorem.
and base to hypotenuse ratio is cosine only.
Now take ratio of sine to cosine ,that is tan.
Alternatively
follow Identity
( sin(x) )^2 + ( cos(x) )^2 = 1
then (cos(x))^2 = 1 - (sin(x))^2
so cos = √[ 1 - (sin(x))^2 ]
put x as 3/4. and get cosine.
Take ratio of sine to cosine that will be the tangent
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