Question

If coto =1/√3 "write the value of" (1 – cos^2) /(2 – sin^2) ​

Answer 1

Step-by-step explanation:

Let 'theta' to be 'A'

Cot A=1/√3

=> tan A=1/Cot A=√3

=> tan A=√3

We know that

Sec²A=1+tan²A

=>Sec A=√{1+(√3)²}=√(1+3)=√4=2

=> Sec A= 2

Cos A=1/Sec A=1/2

=> Cos A= 1/2

Sin A/CosA= tan A

=> SinA=tan A×Cos A=√3×(1/2)=√3/2

=>SinA=√3/2

=> Cosec A= 1/Sin A=2/√3

=> Cosec A=2/√3

All Trigonometric Functions are found

Question

(1-cos²A)/(2-Sin²A)

$(1 - ( { \frac{1}{2} })^{2} ) \div (2 - ({ \frac{ \sqrt{3} }{2} })^{2} )$

$(1 - \frac{1}{4} ) \div (2 - \frac{3}{4} )$

$\frac{4 - 1}{4} \div \frac{8 - 3}{4}$

$\frac{3}{4} \div \frac{5}{4}$

$\frac{3}{4} \times \frac{4}{5}$

$\frac{3}{5}$

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