Question

if sin thetha=4:5 find cos thetha​

Answer 1

Answer:

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Answer 2

Given :-

sinθ = 4:5

$\sf{\implies\: sin\theta\: =\: {\dfrac{4}{5}}}$

$\sf{\implies\: {\dfrac{p}{h}}\: =\: {\dfrac{4}{5}}}$

⟹ p = 4 & h = 5

We know,

h² = p² + b²

⟹ 5² = 4² + b²

⟹ 25 = 16 + b²

⟹ 25 - 16 = b²

⟹ b² = 9

⟹ b = ✓9

⟹ b = 3

We know,

$\sf{cos\theta\: =\: {\dfrac{b}{h}}}$

$\sf{\implies\: cos\theta\: =\: {\dfrac{3}{5}}}$

⟹ cosθ = 3 : 5