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if sin theta =3/5 find the value of (tan theta + sin theta )square
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if sin theta =3/5 find the value of (tan theta + sin theta )square
Solution:


Given:

sin theta = 3/5


To find:

(tan theta sin theta)^2


Solution:


Step 1: Find the value of cos(theta)

We know that sin^2(theta) + cos^2(theta) = 1

Therefore, cos^2(theta) = 1 - sin^2(theta)

cos^2(theta) = 1 - (3/5)^2 = 1 - 9/25

cos^2(theta) = 16/25

cos(theta) = + or - (4/5)


Step 2: Find the value of tan(theta)

We know that tan(theta) = sin(theta) / cos(theta)

Therefore, tan(theta) = (3/5) / (4/5)

tan(theta) = 3/4


Step 3: Find the value of (tan(theta) sin(theta))^2

(tan(theta) sin(theta))^2 = ( (3/4) * (3/5) )^2

(tan(theta) sin(theta))^2 = (9/20)^2

(tan(theta) sin(theta))^2 = 81/400


Answer:

Therefore, (tan(theta) sin(theta))^2 = 81/400
Community Answer
if sin theta =3/5 find the value of (tan theta + sin theta )square
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