pls help
Find the value of 4cot245° − cosec245
Answers
Answered by
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
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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