Trigonometric ratios for 60 degrees


 
 
Concept Explanation
 

Trigonometric ratios for 60 degrees

Trigonometric Ratios for 60 Degrees: Value for the Trigonometrical Ratios for certain angle such as 30^0,60^090^0 and 45^0 are commonly called standard angles and the trigonometrical ratios of these angles are frequently used to solve particular angles. In this section we will derive the value of trigonometric ratios for 60^0.

large angle Asin Acos Atan Acosec Asec Acot A
large 60^{circ}large frac{sqrt{3}}{2}large frac{1}{2}large sqrt{3}large frac{2}{sqrt{3}}2

large frac{1}{sqrt{3}}

 

Illustration: Simplify the given expression (cos ;60^0 +1) times (3- sec ; 60^0)

Solution: To solve this expression we will substitute the value of the ratios at 60^0

(cos ;60^0 +1) times (3- sec ; 60^0)

=(frac{1}{2} +1) times (3- 2)

=frac{3}{2} times 1=frac{3}{2}

Sample Questions
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Question : 1

Solve the following expression:

(cosec;60^0+tan;60^0)+(4;tan;60^0+sin;60^0+cos;60^0)

Right Option : D
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Explanation
Question : 2

Solve the following expression:

frac{3-sin^2;60^0}{sec^2;60^0-1}+frac{tan^2;60^0+1}{2+sec^2;60^0}

Right Option : A
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Explanation
Question : 3

If frac{cos; theta }{1-sin; theta }+frac{cos; theta }{1+sin; theta }=4 ,then

Right Option : D
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Explanation
 
 
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