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Natali [406]
3 years ago
15

If cos -105º = -0.26 and csc -105º = -1.03, then cos 105º = and csc 105º = .

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
3 0

Answer:

cos (105°) = - 2.6

csc (105°) = 1.03

Step-by-step explanation:

Given that cos (-105°) = - 0.26 {The negative sign is due to the angle - 105° lies in the third quadrant where cos value is negative}

Again, given that csc (- 105°) = - 1.03 {{The negative sign is due to the angle - 105° lies in the third quadrant where csc value is negative}

Now, cos (105°) = - 2.6, because 105° lies in the second quadrant and here cos value is negative.

And csc (105°) = 1.03, because 105° lies in the second quadrant and here csc value is positive. (Answer)

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_______________


Cosine and secant functions are reciprocal, which means

\mathsf{sec\,\theta=\dfrac{1}{cos\,\theta}}


So, if  \mathsf{cos\,\theta=\dfrac{3}{8},}  then

\mathsf{sec\,\theta=\dfrac{1}{~\frac{3}{8}~}}\\\\\\&#10;\mathsf{sec\,\theta=\dfrac{8}{3}\qquad\quad\checkmark}


I hope this helps. =)


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