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Evaluate sin(3 sin–1 0.4)
- a)0.9
- b)0.31
- c)0.64
- d)0.56
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Evaluate sin(3 sin–10.4)a)0.9b)0.31c)0.64d)0.56Correct an...
3sin^-1(x) = sin^-1(3x - 4x^3) when -1/2<=x<=1/2
Definitely 0.4 comes in this range of x and so
Definitely 0.4 comes in this range of x and so
3sin^-1(0.4) = sin^-1[3*0.4 - 4*0.4^3]
3sin^-1(0.4) = sin^-1[1.2 - 4*0.064]
3sin^-1(0.4) = sin^-1[1.2 - 0.256]
3sin^-1(0.4) = sin^-1[0.944]
3sin^-1(0.4) = sin^-1[1.2 - 4*0.064]
3sin^-1(0.4) = sin^-1[1.2 - 0.256]
3sin^-1(0.4) = sin^-1[0.944]
Finally , sin(3sin^-1(0.4)) = sin{sin^-1(0.944)} = 0.944
Most Upvoted Answer
Evaluate sin(3 sin–10.4)a)0.9b)0.31c)0.64d)0.56Correct an...
sin(3 sin^−1 0.4)
= sin[sin^−1(3 x 0.4−4 x 0.4^2)] [∵3sin^−1 x = sin^−1(3x − 4x^3)]
= sin[sin^−1(1.2 − 4 x 0.16)]
= sin[sin^−1(1.2 − 0.64)]
= sin[sin^−1(0.56)] = 0.56
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Community Answer
Evaluate sin(3 sin–10.4)a)0.9b)0.31c)0.64d)0.56Correct an...
Given Function:
The given function is sin(3 sin–10.4).
Calculating the Value:
To evaluate sin(3 sin–10.4), we first need to find the value of 3 sin–10.4 and then take the sine of that value.
Let x = 3 sin–10.4
Now, we substitute x in sin(x):
sin(x) = sin(3 sin–10.4)
Now, we need to find the value of x and then find sin(x).
Given that sin–10.4 = sin(-10.4) which is approximately -0.17.
Now, x = 3 * (-0.17) = -0.51
sin(-0.51) ≈ -0.48
Therefore, sin(3 sin–10.4) ≈ sin(-0.51) ≈ -0.48
Hence, the correct option is d) 0.56.
The given function is sin(3 sin–10.4).
Calculating the Value:
To evaluate sin(3 sin–10.4), we first need to find the value of 3 sin–10.4 and then take the sine of that value.
Let x = 3 sin–10.4
Now, we substitute x in sin(x):
sin(x) = sin(3 sin–10.4)
Now, we need to find the value of x and then find sin(x).
Given that sin–10.4 = sin(-10.4) which is approximately -0.17.
Now, x = 3 * (-0.17) = -0.51
sin(-0.51) ≈ -0.48
Therefore, sin(3 sin–10.4) ≈ sin(-0.51) ≈ -0.48
Hence, the correct option is d) 0.56.
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Evaluate sin(3 sin–10.4)a)0.9b)0.31c)0.64d)0.56Correct answer is option 'D'. Can you explain this answer? for JEE 2026 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Evaluate sin(3 sin–10.4)a)0.9b)0.31c)0.64d)0.56Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Evaluate sin(3 sin–10.4)a)0.9b)0.31c)0.64d)0.56Correct answer is option 'D'. Can you explain this answer?.
Evaluate sin(3 sin–10.4)a)0.9b)0.31c)0.64d)0.56Correct answer is option 'D'. Can you explain this answer? for JEE 2026 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Evaluate sin(3 sin–10.4)a)0.9b)0.31c)0.64d)0.56Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Evaluate sin(3 sin–10.4)a)0.9b)0.31c)0.64d)0.56Correct answer is option 'D'. Can you explain this answer?.
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