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bixtya [17]
3 years ago
10

Find the exact value of sin 165º.

Mathematics
2 answers:
ra1l [238]3 years ago
8 0

Answer:0.2588

Step-by-step explanation:

lisabon 2012 [21]3 years ago
4 0

Answer:

\frac{1}{4} ( \sqrt{6} - \sqrt{2} )

Step-by-step explanation:

Using the sine addition formula

sin(a + b) = sinacosb + cosasinb

and the exact values

sin45° = cos45° = \frac{\sqrt{2} }{2} , sin60° = \frac{\sqrt{3} }{2} , cos60° = \frac{1}{2}

Given

sin165°

Note that 165° = (120 + 45)°, thus

= sin(120 + 45)°

= sin120°cos45° + cos120°sin45°

= sin60°cos45° - cos60°sin45°

= ( \frac{\sqrt{3} }{2} × \frac{\sqrt{2} }{2} ) - ( \frac{1}{2} × \frac{\sqrt{2} }{2} )

= \frac{\sqrt{6} }{4} - \frac{\sqrt{2} }{4}

= \frac{1}{4} ( \sqrt{6} - \sqrt{2} )

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3 years ago
The straight line with equation y=3/4x makes an acute angle theta with the x-axis.
yanalaym [24]
The angle is arctan(3/4) => sin(2t) = sin(2arctan(3/4)) =
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2sin(arctan(3/4))cos(arctan(3/4)) = 2sin(z)cos(z) = 2(3/5)(4/5) = 24/25 

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7 0
3 years ago
What is 6 times 2.30
lidiya [134]

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Step-by-step explanation:

8 0
3 years ago
Use formula to find the correct answer:
Eduardwww [97]
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4 0
3 years ago
B) Amount<br>Rs 5760, Interest<br>Rs 1526​
Crazy boy [7]

Given :

Amount, A = 5760 Rs.

Interest in the amount, I = 1526 Rs.

To Find :

We need to find the % rate of interest.

Solution :

Let, us assume it is simple interest.

So,

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