Class 9 Exam  >  Class 9 Questions  >  If a is 30 than find sin 3a =3 sin a - 4 sin ... Start Learning for Free
If a is 30 than find sin 3a =3 sin a - 4 sin raise to power 3. A?
Most Upvoted Answer
If a is 30 than find sin 3a =3 sin a - 4 sin raise to power 3. A?


Given Information:
a = 30

Calculation of sin 3a:
To find sin 3a, we can use the trigonometric identity: sin 3a = 3 sin a - 4 sin^3 a

Substitute the value of a:
sin 3(30) = 3sin(30) - 4sin^3(30)
sin 90 = 3(sin 30) - 4(sin^3 30)

Calculating sin 90:
sin 90 = 1

Calculating sin 30:
sin 30 = 1/2

Applying the values:
1 = 3(1/2) - 4(sin^3 30)
1 = 3/2 - 4(sin^3 30)

Solving for sin^3 30:
1 = 3/2 - 4(sin^3 30)
1 = 3/2 - 4(sin^3 30)
1/2 = -4(sin^3 30)
-1/8 = sin^3 30

Calculating sin 30:
sin 30 = 1/2

Therefore, the value of sin 3a is:
sin 90 = 1

Conclusion:
The value of sin 3a when a is 30 is equal to 1.
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
Explore Courses for Class 9 exam

Top Courses for Class 9

If a is 30 than find sin 3a =3 sin a - 4 sin raise to power 3. A?
Question Description
If a is 30 than find sin 3a =3 sin a - 4 sin raise to power 3. A? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If a is 30 than find sin 3a =3 sin a - 4 sin raise to power 3. A? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a is 30 than find sin 3a =3 sin a - 4 sin raise to power 3. A?.
Solutions for If a is 30 than find sin 3a =3 sin a - 4 sin raise to power 3. A? in English & in Hindi are available as part of our courses for Class 9. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of If a is 30 than find sin 3a =3 sin a - 4 sin raise to power 3. A? defined & explained in the simplest way possible. Besides giving the explanation of If a is 30 than find sin 3a =3 sin a - 4 sin raise to power 3. A?, a detailed solution for If a is 30 than find sin 3a =3 sin a - 4 sin raise to power 3. A? has been provided alongside types of If a is 30 than find sin 3a =3 sin a - 4 sin raise to power 3. A? theory, EduRev gives you an ample number of questions to practice If a is 30 than find sin 3a =3 sin a - 4 sin raise to power 3. A? tests, examples and also practice Class 9 tests.
Explore Courses for Class 9 exam

Top Courses for Class 9

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev