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If cot 450.sec 600 = A tan 300.sin 600, then which of the following is the correct value of A?
- a)4
- b)1
- c)√2
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If cot 450.sec 600= A tan 300.sin 600, then which of the following is ...
Given cot 450.sec 600 = A tan 300.sin 600
So, 1 x 2 = A 1/√3 x √3/2
⇒ 2 = A/2
So, A = 4
So, 1 x 2 = A 1/√3 x √3/2
⇒ 2 = A/2
So, A = 4
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Community Answer
If cot 450.sec 600= A tan 300.sin 600, then which of the following is ...
To solve this equation, we need to simplify both sides and find the value of A.
cot 450 = 0 (since cot 450 = 1/tan 450 and tan 450 is undefined)
sec 600 = 1/cos 600 = 1/0.5 = 2
A tan 300 = A * tan(300 + 360) = A * tan 660 = A * tan 300 (since tan 660 is equivalent to tan 300)
sin 600 = sin(600 - 360) = sin 240 = sin 300 (since sin 240 is equivalent to sin 300)
Therefore, the equation simplifies to:
0 * 2 = A * tan 300 * sin 300
0 = A * tan 300 * sin 300
Since the left side is 0, A must also be 0.
So the correct value of A is 0.
Therefore, the correct option is d) 0.
cot 450 = 0 (since cot 450 = 1/tan 450 and tan 450 is undefined)
sec 600 = 1/cos 600 = 1/0.5 = 2
A tan 300 = A * tan(300 + 360) = A * tan 660 = A * tan 300 (since tan 660 is equivalent to tan 300)
sin 600 = sin(600 - 360) = sin 240 = sin 300 (since sin 240 is equivalent to sin 300)
Therefore, the equation simplifies to:
0 * 2 = A * tan 300 * sin 300
0 = A * tan 300 * sin 300
Since the left side is 0, A must also be 0.
So the correct value of A is 0.
Therefore, the correct option is d) 0.
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