Which of the following are correct-1 A - B A BA - t3 tan A - B A- None of themB- Only 1 and 2C- Only 1 and 3D- All the four

The correct option is C Only (1) and (3) (1) And (3) are correct (2) cot (A B) = cotAcotB + 1/cotB cotA One important thing to note here is denominator is c ...

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Byju's Answer

Standard XI

Mathematics

Trigonometric Ratios for Sum of Two Angles

Which of the ...

Question

Which of the following are correct?

(1) cot(A+B) = $\frac{c o t A c o t B - 1}{c o t A + c o t B}$

(2) cot(A-B) = $\frac{c o t A c o t B - 1}{c o t A - c o t B}$

(3) tan(A+B) = $\frac{t a n A + t a n B}{1 - t a n A t a n B}$

(4) tan(A-B) = $\frac{t a n A - t a n B}{1 - t a n A t a n B}$

All the four

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None of them

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Only (1) and (2)

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Only (1) and (3)

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Solution

The correct option is D
Only (1) and (3)

(1) And (3) are correct

(2) cot (A-B) = $\frac{c o t A c o t B + 1}{c o t B - c o t A}$

One important thing to note here is denominator is cotB - cotA not cotA - cotB

(3) tan(A-B) = $\frac{t a n A - t a n B}{1 + t a n A t a n B}$

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Which of the following are correct? (1) cot(A+B) = cotAcotB−1cotA+cotB (2) cot(A-B) = cotAcotB−1cotA−cotB (3) tan(A+B) = tanA+tanB1−tanAtanB (4) tan(A-B) = tanA−tanB1−tanAtanB

The correct option is D Only (1) and (3) (1) And (3) are correct (2) cot (A-B) = cotAcotB+1cotB−cotA One important thing to note here is denominator is cotB - cotA not cotA - cotB (3) tan(A-B) = tanA−tanB1+tanAtanB

Which of the following are correct?

(1) cot(A+B) = $\frac{c o t A c o t B - 1}{c o t A + c o t B}$

(2) cot(A-B) = $\frac{c o t A c o t B - 1}{c o t A - c o t B}$

(3) tan(A+B) = $\frac{t a n A + t a n B}{1 - t a n A t a n B}$

(4) tan(A-B) = $\frac{t a n A - t a n B}{1 - t a n A t a n B}$

The correct option is D
Only (1) and (3)

(1) And (3) are correct

(2) cot (A-B) = $\frac{c o t A c o t B + 1}{c o t B - c o t A}$

One important thing to note here is denominator is cotB - cotA not cotA - cotB

(3) tan(A-B) = $\frac{t a n A - t a n B}{1 + t a n A t a n B}$