Question

sin 30°cos45° + 4 tan-30° + 1/2 sin² 90° +1/8 cot²90° ​

Answer 1

Answer:

(3root2+6+16root3)/12

Step-by-step explanation:

sin 30⁰=1/2

cos 45⁰=root2/2

so, sin 30⁰cos 45⁰= root2/4

4×tan 30⁰= 1/root3 or 4root3/3

1/2×sin²90⁰= 1/2×(1)²= 1/2

and since cot 90⁰ =0 hence 1/8 cot²90⁰=0

Now, root2/4+4root3/3+1/2+0

after calculating we get: (3root2+6+16root3)/12