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Veronika [31]
3 years ago
12

If cos x = sin(20 + x) ° and 0°

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
4 0

Answer:

x = 35°

Step-by-step explanation:

The question is as following

cos x = sin(20 + x)°  and  0° < x  < 90°  ,   find X?

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

cos x = sin(20 + x)°

sin and cos are co-functions,

which means that: cos x = cos [90 - (20 + x)]

∴ x = 70 - x

∴ 2x = 70

∴ x = 35°

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

Note: cos θ = sin ( 90 - θ )

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Step-by-step explanation:

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Knowing this we are solving for the inverse of tan -1. We are basically being asked the question what angle/radian does tan(-1) equal. Using the unit circle we can see that tan(1)= pi/4.

Since the "Odds and Evens Identity" states that tan(-x) = -tan(x). Tan(-1)= -pi/4.

Knowing that tan is negative in quadrants 2 and 4. the answer is in either of those two quadrants. BUT!!! since inverse of tan is restricted to quadrants 1 and 4 we are left with the only answer -pi/4.

the answer is m=-3n-5/2 or n=2m+5/6

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3 years ago
Find the value of this expression is x=-6. X2/x+3
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5 0
3 years ago
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If there are 10 South American butterflies and you're comparing 3:2 and 2 is European birds and 3 is South American birds how ma
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3 years ago
This list shows the lengths in feet of the 25 longest bridges in the United States.
Paladinen [302]

The length of the intervals of the given frequency table is

500 ft.

The given list shows the lengths in feet of the 25 longest bridges in the United States.

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The median is the middle number of the data set arranged in ascending order.

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