Step-by-step explanation:
Answer:
\frac{7}{4}
4
7
Explanation:
______________________
We know the values of
i) cos0° = 1
ii) sin45° = \frac{1}{\sqrt{2}}
2
1
iii) sin30° = \frac{1}{2}
2
1
iv) sin90° = 0
v) cos45° = \frac{1}{\sqrt{2}}
2
1
vi ) cos60° = \frac{1}{2}
2
1
_____________________
Now,
The value of
(cos 0+sin 45+sin 30)(sin 90-cos 45+cos 60)
= \left(1+\frac{1}{\sqrt{2}}+\frac{1}{2}\right)\left(1-\frac{1}{\sqrt{2}}+\frac{1}{2}\right)(1+
2
1
+
2
1
)(1−
2
1
+
2
1
)
= \left(\frac{3}{2}+\frac{1}{\sqrt{2}}\right)\left(\frac{3}{2}-\frac{1}{\sqrt{2}}\right)(
2
3
+
2
1
)(
2
3
−
2
1
)
= \left(\frac{3}{2}\right)^{2}-\left(\frac{1}{\sqrt{2}}\right)^{2}(
2
3
)
2
−(
2
1
)
2
/* By algebraic identity
(a-b)(a+b) = a²-b² */
= \left( \frac{9}{4}-\frac{1}{2}\right)(
4
9
−
2
1
)
= \frac{9-2}{4}
4
9−2
= \frac{7}{4}
4
7
••••
Answer:
57⁰
Step-by-step explanation:
This is because angle w and the angle with a measurement of 57⁰ are verticle angles, which makes them congruent.
Answer:
[ 0 ]
Step-by-step explanation:
The order of the matrix [ 3 1 1 ] is 1 by 3 and the order of the other matrix is 3 by 1 so this means that the order of the answer matrix is 1 by 1. So we multiply matrices row by columns.
[ 3 1 1 ] × | 2|
| -6|
| 0|
[ 3 × 2 + 1 × -6 + 1 × 0 ]
[ 6 - 6 + 0 ]
[ 0 ]
Step-by-step explanation:
Tan30=4/adj
adj Tan 30= 4
adj=4/tan30
adj=6.93m
Area=L×b
4×6.93=27.72m