Question

if tan theta equals to 3 by 4 then what is the value of sin theta cos theta​

Answer 1

Answer:

12/25

Step-by-step explanation:

given in the picture.

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Answer 2

Answer:

sin∅ = 3/5, cos∅=4/5

Step-by-step explanation:

here

given that tan∅=3/4

in a right angle triangle ,

Tan∅=opposite side of angle ∅ / adjacent side of angle ∅

∴ opposite side=3

adjacent side =4

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

$hypotenuse^{2}$ = $opposite^{2}$+$adjacent^{2}$

hypotenuse^{2}= 3^2 +4^2

hypotenuse^{2} =25

hypotenuse=5

∴ sin∅=3/5    cos∅=4/5