Pregunta
Hence, determine the general solution of
INSTRUCTION: Round your answer to two decimal places, if necessary.
Answer:
or
Answer:
or
Ask by Chambers Watkins. in South Africa
Mar 13,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The general solution is:
Solución
We start with
Recall the Pythagorean identity
Thus, the numerator becomes
Also, use the cofunction identity in degrees:
Substitute these into the equation:
Assuming
, we can cancel one
:
Multiply both sides by 5:
The general solution for an equation of the form
is given by
Here,
and
Thus, we have
Divide by 4 to solve for
:
Simplify the fractions:
Hence, the solutions are
or
Equivalently, this can be written in the combined form:
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Como
error msg


Mind Expander
To solve the equation
we first simplify
to
. The sine function has the identity
, thus
. The equation then becomes
This simplifies to
The general solution for
is given by
Thus, we solve for
:
-
- (4y = 360^{\circ} - \cos^{-1}(-0.30) + 360^{\circ} k.
]
Calculating
gives approximately
.
Now, substituting back to solve for
:
-
- (y = \frac{360^{\circ} - 108.21^{\circ}}{4} + 90^{\circ} k.
This results in two values:
-
- (y \approx 62.20^{\circ} + 90^{\circ} k.
So, the general solution is:
Final rounded answers are:

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