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swat32
2 years ago
7

(1+tan^2 A)cot A/cosec^2 A= tanA​

Mathematics
1 answer:
Rufina [12.5K]2 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

1 + tan²A = sec²A , secA = \frac{1}{cosA}, cosecA = \frac{1}{sinA} , cotA = \frac{cosA}{sinA} , tanA = \frac{sinA}{cosA}

Consider the left side

\frac{(1+tan^2A)cotA}{cosec^2A}

= \frac{sec^2AcotA}{cosec^2A}

= \frac{\frac{1}{cos^2A}(\frac{cosA}{sinA})  }{cosec^2A}

= \frac{\frac{1}{cosAsinA} }{\frac{1}{sin^2A} }

= \frac{1}{cosAsinA} × sin²A

= \frac{sinA}{cosA}

= tanA = right side , thus proven

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7 0
3 years ago
Would like to see the step-by-step how to solve this!
tiny-mole [99]

The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

a) 23 + (-16) + 42 * 5 - (-3)

= 23 - 16 + 210 + 3 = 220

b) -6(12 - 15) + 23

= -6(-3) + 23 = 18 + 23

= 41

c) -50 + (-10) + (5 - 3)4

= -50 - 10 + 2(4) = -50 - 10 + 8

= -52

d) -4.5 (-0.53) + (-1)

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= 1.385

e) 5 - 2 + 8

= 3 + 8

= 11

The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11

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8 0
1 year ago
Please i really need help
Airida [17]

Answer:

-6

Step-by-step explanation:

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there's only one point when x=-5 and it's -6

so the point is (-5,-6) and y is equal to -6

hope this helps and makes sense <3

do well babe

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2 years ago
1. MAKE SURE TO WAIT UNTIL YOU HAVE MATH CLASS BEFORE STARTING 5 points
andrew-mc [135]

Answer:

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Step-by-step explanation:

i beleive the answer would be 340 = 4 but if 340/4 is an option you could choose it.

8 0
2 years ago
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The cost of the calculator was:

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The sales tax would be:

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