Test 18 June for AM-JEE batch
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Question 1 of 7
1. Question
Prove that \(cos (A+B) = cos A. cosB – sin A. sin B\)
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Question 2 of 7
2. Question
Write the formulae for
- \(sin (A+B) = \)
- \(tan (A-B) = \)
- \(cos \ A – cos \ B =\)
- \(sin \ A – sin \ B =\)
- \(2cos \ A .Sin \ B = \)
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Grading can be reviewed and adjusted.Grading can be reviewed and adjusted. -
Question 3 of 7
3. Question
Prove that \(Cos \ A + Cos \ B = 2 cos \ {A+B \over 2} cos \ {A-B \over 2} \)
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Question 4 of 7
4. Question
\({sin \ (A+B) \over sin(A-B) } = {tan \ (A+B) \over tan(A-B) }\)
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Question 5 of 7
5. Question
\({tan \ 4 A }\) = \({4. tan \ A (1 – tan^2 A )} \over {1 – 6. tan^2A + tan^4A}\)
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Question 6 of 7
6. Question
Prove that \( sin \ A = sin \ B\) implies \(A = n \pi + (-1)^n B\), where \(n \ \epsilon \ Z\)
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Question 7 of 7
7. Question
Find solutions for \(x\) if \(cos \ x = {-1 \over 2}\) and \( -2 \pi \ < \ x \ < 2 \pi\)
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This response will be reviewed and graded after submission.
Grading can be reviewed and adjusted.Grading can be reviewed and adjusted. -