Given that sin theta = 4/5 then find the value of cos theta
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Answer:
cosθ = 3/5
Step-by-step explanation:
(sinθ)^2 + (cosθ)^2 = 1
(cosθ)^2 = 1 - (sinθ)^2
(cosθ)^2 = 1 - (4/5)^2
(cosθ)^2 = 1 - 16/25
(cosθ)^2 = 9/25
cosθ = 3/5
Answered by
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Answer:
Step-by-step explanation:
Given sin theta =4/5
Formula of sin theta=Opposite/Hypotenuse
From phytagorean theorem we know that (Hypotenuse²=Opposite²+Adjacent²)
so (5²=4²+X²) lets assume adjacent as X
from the above equation we get adjacent²(X)² as 9
which means adjacent=3
Now cos theta=adjacent/hypotenuse so
cos theta -3/5
Thank you
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