If sin60
∘
+cos45
∘
=x, then the value of x is:
- A2
1
- B2
3
+
2
- C2
−1 - D3
Solution & Step-by-step Explanation
Given equation:
sin60
∘
+cos45
∘
=x
We know the standard trigonometric values:
sin60
∘
=
2
3
cos45
∘
=
2
1
Substitute these values into the equation:
x=
2
3
+
2
1
To add these fractions, find a common denominator, which is 2:
x=
2
3
+
2
×
2
1×
2
x=
2
3
+
2
2
x=
2
3
+
2
sin60
∘
+cos45
∘
=x
We know the standard trigonometric values:
sin60
∘
=
2
3
cos45
∘
=
2
1
Substitute these values into the equation:
x=
2
3
+
2
1
To add these fractions, find a common denominator, which is 2:
x=
2
3
+
2
×
2
1×
2
x=
2
3
+
2
2
x=
2
3
+
2