Question

10. The value of 2 sec 10° x cos 10° is
(A) 1 (B)
90
(C) 2 cos 10
(D) 2​

Answer 1

Answer:

sec 10 =1/cos 10

then 2sec 10 ×cos 10

=2×1/cos 10×cos 10

=2

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Answer 2

The value of 2 sec 10° × cos 10° is 2

Given :

The expression 2 sec 10° × cos 10°

To find :

The value of the expression is

(A) 1

(B) 90

(C) 2 cos 10°

(D) 2

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{2 \: \sec {10}^{ \circ} \times \cos {10}^{ \circ} }$

Step 2 of 2 :

Find the value of the expression

$\displaystyle \sf{2 \: \sec {10}^{ \circ} \times \cos {10}^{ \circ} }$

$\displaystyle \sf{ = 2 \: \times \frac{1}{\cos {10}^{ \circ}} \times \cos {10}^{ \circ} }$

$\displaystyle \sf{ = 2 \: \times 1}$

$\displaystyle \sf{ = 2 }$

Hence the correct option is (D) 2

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