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Consider the following statements : 1. + can never be equal t

Question

Consider the following statements :
1. $cos θ + sec θ$ can never be equal to $1.5$
2. $tan θ + cot θ$ can never be less than to $2$
Which of the above statements is/are correct ?

1

only

2

only

Both

1

and

2

Neither

1

nor

2

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Noah Discussed

Consider the following statements :
1.

cos θ + sec θ

can never be equal to

1.5

tan θ + cot θ

can never be less than to

2

Which of the above statements is/are correct ?

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

Since

cos θ = \frac{1}{sec θ}

tan θ = \frac{1}{co tθ}

\Rightarrow A . M \geq G . M

\Rightarrow x + \frac{1}{x} \geq 2

tan θ + \frac{1}{tan θ} \geq 2

and

cos θ + \frac{1}{cos θ} \geq 2

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Question Text	Consider the following statements : 1. $cos θ + sec θ$ can never be equal to $1.5$ 2. $tan θ + cot θ$ can never be less than to $2$ Which of the above statements is/are correct ?
Answer Type	Text solution:1
Upvotes	151