Question

Find sin^30×cos^45+4 tan^30+1/2 sin^90+1/8×cot^60

Answer 1

sin30=1/2

therefore, sin²30=1/4......(1)

cos45=√2

cos²45=2................. (2)

tan 30 =1/√3

tan²30=1/3.......(3)

sin90=1

sin²90=1......... (4)

cot 60=1/√3

cot²60=1/3..........(5)

therefore by substituting the values,

sin²30×cos²45+4×tan²30+1/2+sin²90+1/8×cot²60

1/4×2+4×1/3+1/2+1+/8×1/3

1/2+4/3+1/2++1/8×1/3

37/24

Answer 2

Answer:

here's the answer

Step-by-step explanation:

see the photo