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If sin a sin b =3/10 and cos a cos b =2/5 then sin (a b) is?
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If sin a sin b =3/10 and cos a cos b =2/5 then sin (a b) is?
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If sin a sin b =3/10 and cos a cos b =2/5 then sin (a b) is?
Solution:
Given:
\[
\sin a \cdot \sin b = \frac{3}{10} \quad \text{and} \quad \cos a \cdot \cos b = \frac{2}{5}
\]
Finding sin(ab):
To find \(\sin(ab)\), we will use the trigonometric identity:
\[
\sin(a+b) = \sin a \cdot \cos b + \cos a \cdot \sin b
\]
Using the given values:
Substitute the given values into the formula:
\[
\sin(ab) = \sin a \cdot \cos b + \cos a \cdot \sin b = \frac{3}{10} + \frac{2}{5}
\]
Calculating the value:
\[
\sin(ab) = \frac{3}{10} + \frac{4}{10} = \frac{7}{10}
\]
Therefore, \(\sin(ab) = \frac{7}{10}\).
Given:
\[
\sin a \cdot \sin b = \frac{3}{10} \quad \text{and} \quad \cos a \cdot \cos b = \frac{2}{5}
\]
Finding sin(ab):
To find \(\sin(ab)\), we will use the trigonometric identity:
\[
\sin(a+b) = \sin a \cdot \cos b + \cos a \cdot \sin b
\]
Using the given values:
Substitute the given values into the formula:
\[
\sin(ab) = \sin a \cdot \cos b + \cos a \cdot \sin b = \frac{3}{10} + \frac{2}{5}
\]
Calculating the value:
\[
\sin(ab) = \frac{3}{10} + \frac{4}{10} = \frac{7}{10}
\]
Therefore, \(\sin(ab) = \frac{7}{10}\).
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If sin a sin b =3/10 and cos a cos b =2/5 then sin (a b) is?
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If sin a sin b =3/10 and cos a cos b =2/5 then sin (a b) is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If sin a sin b =3/10 and cos a cos b =2/5 then sin (a b) is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sin a sin b =3/10 and cos a cos b =2/5 then sin (a b) is?.
If sin a sin b =3/10 and cos a cos b =2/5 then sin (a b) is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If sin a sin b =3/10 and cos a cos b =2/5 then sin (a b) is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sin a sin b =3/10 and cos a cos b =2/5 then sin (a b) is?.
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