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Trigonometric Ratios of Allied Angles

If A = 22°15'...

Question

If A = 22°15' and B = 22°45', then find the value of tan (A + B).

A

0.25

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B

0.5

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C

1

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D

1.5

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Solution

The correct option is C 1

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Similar questions

A + B = 45^{o}

(1 + t a n A) (1 + t a n B) = 2

; hence find the value of

tan {(22 \frac{1}{2})}^{o}

a = 3, b = - 3

, find the value of

(a - 2)^{2} + (b - 2)^{2}

A = sin 15^{\circ} + cos 15^{\circ}

B = tan 15^{\circ} + cot 15^{\circ}

C = tan 22 {\frac{1}{2}}^{\circ} - cot 22 {\frac{1}{2}}^{\circ}

then the descending order is

A + B = 45^{\circ}

(1 + tan A) (1 + tan B) = 2

and hence deduce that

tan 22 {\frac{1}{2}}^{\circ} = \sqrt{2} - 1

n (ξ)

= 30, n (A) = 22, n (B) = 15

n (A

\cup

B) = 25

n (B

^{'}

)

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