Question

What is the value of 2 sec 10°* cos 10° ?

Answer 1

Step-by-step explanation:

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} }2sec10

∘

×cos10

∘

Step 2 of 2 :

Find the value of the expression

\displaystyle \sf{2 \: \sec {10}^{ \circ} \times \cos {10}^{ \circ} }2sec10

∘

×cos10

∘

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

cos10

∘

1

×cos10

∘

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

\displaystyle \sf{ = 2 }=2

Hence the correct option is (D) 2

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