Question

evaluate cos0+sin45+sin30​

Answer 1

$\fbox \red {3+ √2 / 2 is the answer }$

Step-by-step explanation:

We know that:-

$\cos( 0 ) = 1 \\ \\ \sin(45) = \frac{1}{ \sqrt{2} } \\ \\ \sin(30) = \frac{1}{2}$

Now put the above values

So,

$1 + \frac{1}{ \sqrt{2} } + \frac{1}{2} \\ \\ \frac{2 \sqrt{2 } + 2 + \sqrt{2} }{2 \sqrt{2} } \\ \\ \frac{3 \sqrt{2} + 2}{2 \sqrt{2} }$

Now Rationalise it

$\frac{(3 \sqrt{2} + 2) \times 2 \sqrt{2} }{2 \sqrt{2} \times 2 \sqrt{2} } \\ \\ \frac{(6 \times 2) + 4 \sqrt{2} }{4 \times 2} \\ \\ \frac{12 + 4 \sqrt{2} }{8} \\ \\ \frac{4(3 + \sqrt{2}) }{8} \\ \\ \frac{3 + \sqrt{2} }{2} Answer$

Hope this helps you

please mark it BRAINLIEST

Answer 2

2+√2

2

Step-by-step explanation:

cos0= 1

sin 30= 1

2

sin45= 1

√2

.°. 1+1+√2 = 2+√2

2. 2