Question

If sinA+cosB=1 and A=30 then value of B=

Answer 1

Answer:

60

Step-by-step explanation:

sin A + cos B = 1

sin 30 + cos B = 1

1/2. + cos B =1

cos B = 1-1/2

= 1/2

Answer 2

Answer:

If sinA+cosB=1 and $A=30^\circ$ then the value of $B=60^\circ$.

Step-by-step explanation:

sinA+cosB=1 and given that the angle $A=30^\circ$. The question is to find the value of B.

So put the value of A in the equation, that is instead of sinA put sin(30).

Therefore the equation will become as follows,

  $sin(30)+cosB=1$

We know the value of sin(30) is equal to $\dfrac{1}{2}$. Put this value in the equation.

  $\dfrac{1}{2} +cosB=1$

Now take $\dfrac{1}{2}$ to the right-hand side,

   $cosB=1-\dfrac{1}{2}=\dfrac{1}{2}$

Now we got the value of cosB is equal to $\dfrac{1}{2}$. From the trigonometric table, the value of $\dfrac{1}{2}$ in terms of cos is given as, $cos(60)=\dfrac{1}{2}$

Hence the value of $B=60^\circ$.