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finlep [7]
4 years ago
9

Please help me with these 2 explain the step plz thanks

Mathematics
2 answers:
cluponka [151]4 years ago
6 0

1)when we know x+y=90* the sine of x is equal to cosine of y , so the solution of the first is 0.6 again!

aleksklad [387]4 years ago
4 0

Answer:

Left diagram cos(y) = 0.6

Right diagram x = 5 makes the equation true.

Step-by-step explanation:

Left diagram

Both the sin(x) and the Cos(y) use the same side as the non hypotenuse side.

Therefore they most be equal.

So if sin(x) = 0.6, then cos(y) = 0.6

=========================

Right diagram

You can factor this to get the answer.

From the first 2 terms, take out x^2. From terms 3 and 4 take out 2.

x^2(x - 5) + 2(x - 5) = 0

Take out the common factor of (x - 5)

(x^2 +2)(x - 5)

x^2 + 2 yields a complex answer (which doesn't matter for this question)

x - 5 = 0

x = 5

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See the attached sketch. Let \beta denote angle ABC and \beta' denote angle CBD. Then \beta'=2\beta.

From the sketch, we see that

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Write \tan(3\beta) in terms of \tan\beta. Recall the angle sum identity for tangent:

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This gives us

\tan(3\beta)=\dfrac{\tan\beta+\frac{2\tan\beta}{1-\tan^2\beta}}{1-\tan\beta\cdot\frac{2\tan\beta}{1-\tan^2\beta}}=\dfrac{\tan\beta(\tan^2\beta-3)}{3\tan^2\beta-1}

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