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Standard Values of Trigonometric Ratios

If 2 cos A+B=...

Question

If 2 cos(A + B) = 1, and 2 sin(A –B) = 1 then the values of A and B are

A

15^o, 22^o

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B

30^o, 45^o

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C

45^o, 15^o

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D

20^o, 10^o

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Solution

The correct option is C
45^o, 15^o

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Similar questions

2 cos (A + B) = 2 sin (A - B) = 1

; find the value of

B

\sqrt{2} sin A = sin B - {sin}^{3} B

\sqrt{2} cos A = cos B + {cos}^{3} B

, then the possible value(s) of

sin (A - B)

\sqrt{2} sin A = sin B - {sin}^{3} B

\sqrt{2} cos A = cos B + {cos}^{3} B

, then the possible value(s) of

sin (A - B)

A, B, C

are angle of a triangle

A B C

, then the value of the determinant

∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} sin \frac{A}{2} & sin \frac{B}{2} & sin \frac{C}{2} sin (A + B + C) & sin \frac{B}{2} & cos \frac{A}{2} cos \frac{(A + B + C)}{2} & tan (A + B + C) & sin \frac{C}{2} \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣

is less than or equal to

2 cos (A - B) = 2 sin (A + B) = \sqrt{3},

find the value of the acute angle

A

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