If sin A- 1-2 and cos B -1-2-then find the value of A-B-

Given: sin A = 1/2 ⇒ nbsp;A = 30^∘ Also nbsp;given, cos B = 1/√(2) ⇒ nbsp;B = nbsp;45^∘ Thus, A + B = (30^∘ + 45^∘) = 75^∘ ...

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Byju's Answer

Standard IX

Mathematics

Complementary Trigonometric Ratios

If sin A= 1/2...

Question

$If sin A = \frac{1}{2} and cos B = \frac{1}{\sqrt{2}}$ ,
then find the value of (A+B).

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Solution

Given: $sin A = \frac{1}{2}$

$\Rightarrow A = 30^{\circ}$

Also given, $cos B = \frac{1}{\sqrt{2}}$

$\Rightarrow B = 45^{\circ}$

Thus, A + B = ( $30^{\circ}$ + $45^{\circ}$ ) = $75^{\circ}$

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If sinA=12 and cosB=1√2, then find the value of (A+B).

Given: sinA=12 ⇒A=30∘ Also given, cosB=1√2 ⇒B=45∘ Thus, A + B = (30∘ + 45∘) = 75∘

$If sin A = \frac{1}{2} and cos B = \frac{1}{\sqrt{2}}$ ,
then find the value of (A+B).

Given: $sin A = \frac{1}{2}$

$\Rightarrow A = 30^{\circ}$

Also given, $cos B = \frac{1}{\sqrt{2}}$

$\Rightarrow B = 45^{\circ}$

Thus, A + B = ( $30^{\circ}$ + $45^{\circ}$ ) = $75^{\circ}$