Question

2cos²60degree+sec²30degree/sin²30degree+cos²45degree​

Answer 1

Answer:

answer for the given problem is given

Answer 2

SOLUTION :

$2 { \cos^{2}60^{\circ}} + \dfrac{ \sec^{2}30^{\circ} }{ \sin^{2}30^{\circ} } + { \cos^{2}45^{\circ}}$

Now to find the value of above expression , we have to put :-

• Cos 60° = 1/2

• sec 30° = 2/√3

• sin 30° = 1/2

• cos 45° = 1/√2

⟹ $2 \times ( { \dfrac{1}{2} })^{2} + \dfrac{( {\dfrac{2}{ \sqrt{3} }})^{2} }{ ({ \dfrac{1}{2} })^{2} } + ( {\dfrac{1}{ \sqrt{2} }})^{2}$

⟹ $2 \times \dfrac{1}{4} + \dfrac{(4 \times 4)}{(3 \times 1)} + \dfrac{1}{2}$

⟹ $\dfrac{1}{2} + \dfrac{16}{3} + \dfrac{1}{2}$

LCM of 2,3 and 2 = 6

⟹ $\dfrac{3 + 32 + 3}{6}$

⟹ $\dfrac{38}{6}$

⟹ $\dfrac{19}{3}$

Answer :- 19/3

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Learn more :-

• Sin 30° = 1/2

• cos 30° = √3/2

• tan 30° = 1/√3

• Sin 45° = 1/√2

• cos 45° = 1/√2

• tan 45° = 1

• Sin 60° = √3/2

• cos 60° = 1/2

• tan 60° = √3

• Sin 90° = 1

• cos 90° = 0

• tan 90° = infinite

• cosec x = 1/ sin x

• sec x = 1/ cosx

• cot x = 1/tan x

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