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3 years ago

Sin(x+50)=cos3x..find tan

Mathematics

1 answer:

kifflom [539]3 years ago

8 0

here's the solution,

by using complementary relation between sin and cos,

=》

$\sin(x + 50) = \cos(3x)$

=》

$\cos(90 - (x + 50)) = \cos(3x)$

=》

$90 - x- 50 = 3x$

=》

$4x = 40$

=》

$x = 10$

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Step-by-step explanation:

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The compound interest formula is given by:

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The amount of money earned after t years in continuous interest is given by:

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If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600?

We have to find t for which $A(t) = 1600$ when $P = 1000, r = 0.07, n = 2$

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$1600 = 1000(1 + \frac{0.07}{2})^{2t}$

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