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If sin = 3/5 Find cos and tan

Question

If $s in θ = 3/5$
Find
$cos θ an d t an θ$

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s in θ = 3/5

Find

cos θ an d t an θ

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Text solutionVerified

Δ A BC

be a right angled at B
Let

∠ A CB = θ

Given that, sin

θ

= 3/5
AB/AC = 3/5
Let AB = 3x
then AC = 5x
In right angled

Δ A BC

,
By Pythagoras theorem,
We get

(5 x)^{2} = (3 x)^{2} + B C^{2}

B C^{2} = (5 x)^{2} - (3 x)^{2}

B C^{2} = (2 x)^{2}

BC = 4 x

(i) cos

θ

= Base/ Hypotenuse
= BC / AC
= 4x /5x
= 4/5
(ii) tan

θ

= perpendicular/Base
= AB/BC
= 3x/4x
=3/4

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