Math, asked by alphyrebairo, 3 days ago

pls help
Find the value of 4cot245° − cosec245

Answers

Answered by 33847
1

Answer:     1

Step-by-step explanation:

olution

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Correct option is A)

To find: cosec

2

45

o

−cot

2

45

o

cosec

2

45

o

−cot

2

45

o

=(

2

)

2

−1

2

=2−1

=1

Hence, cosec

2

45

o

−cot

2

45

o

=1

Answered by amitnrw
1

Value of 4cot²45° − cosec²45°   is 1

Given:

  • 4cot²45° − cosec²45°   (correction in Question)

To Find:

  • Evaluate

Solution:

  • Cot 45° = 1
  • Cosec 45° = √2

4cot²45° − cosec²45°

Step 1:

Substitute  Cot 45° = 1  and Cosec 45° = √2 in the expression

4(1)² - (√2)²

Step 2:

Square of 1 is always 1 and  (√a)² = | a |  hence

4(1) - 2

= 4 - 2

= 2

Hence, Value of 4cot²45° − cosec²45°   is 1

(Although its not clear that angle is 245° or square of 45° but most probably your Question is : Find the value of  4cot²45° − cosec²45° )

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