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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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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 for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about if sin theta =3/5 find the value of (tan theta + sin theta )square covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for if sin theta =3/5 find the value of (tan theta + sin theta )square.
if sin theta =3/5 find the value of (tan theta + sin theta )square for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about if sin theta =3/5 find the value of (tan theta + sin theta )square covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for if sin theta =3/5 find the value of (tan theta + sin theta )square.
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