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Prove (cos A - sin A + 1)/(cos A + sin A - 1)= cosec A + cot A | Q5 part (v)
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Exercise 8.4 question 5 part (v) class 10
Important Problem.
Prove:
cos A - sin A + 1 /cos A + sin A - 1 = cosec A + cot A
using the identity
cosec^2 A=1+ cot^2 A
Strategy🧠:
Divide numerator and denominator by sin A
Use cosec^2 A=1+ cot^2 A
Hint 💡 :
Trigonometric identity:
cos^2 A + sin^2 A = 1
1 + tan^2 A = sec^2 A
cot^2 A + 1 = cosec^2A
Algebraic Identity
(a+b)^2 = a^2 + b^2 + 2ab
(a+b)^3 = (a+b)(a^2 -ab + b^2)
a^2 - b^2 = (a-b)(a+b)
Note📝
The above question is taken from NCERT book ch-8 exercise 8.4 question 5 part 5 Trigonometry.
Read it 📖
Identity:
An equation is called an identity when it is true for all values of the variables involved in it.
Trigonometric identity :
Similarly, an equation involving trigonometric ratios of an angle is called a trigonometric identity, if it is true for all values of the angle(s) involved.
Practice👩🏫:
(1+secA)/sec A = (sin^2 A)/(1-cos A)
Or
1 plus sec A upon sec A = sin square A upon 1 minus cos A
Trigonometric identities
Trigonometry playlist [latest]
Revise✍🏻:
Quadratic Equations
Polynomials
Real Numbers
Connect with us 🤩:
#ncert #class10maths #trigonometry
Important Problem.
Prove:
cos A - sin A + 1 /cos A + sin A - 1 = cosec A + cot A
using the identity
cosec^2 A=1+ cot^2 A
Strategy🧠:
Divide numerator and denominator by sin A
Use cosec^2 A=1+ cot^2 A
Hint 💡 :
Trigonometric identity:
cos^2 A + sin^2 A = 1
1 + tan^2 A = sec^2 A
cot^2 A + 1 = cosec^2A
Algebraic Identity
(a+b)^2 = a^2 + b^2 + 2ab
(a+b)^3 = (a+b)(a^2 -ab + b^2)
a^2 - b^2 = (a-b)(a+b)
Note📝
The above question is taken from NCERT book ch-8 exercise 8.4 question 5 part 5 Trigonometry.
Read it 📖
Identity:
An equation is called an identity when it is true for all values of the variables involved in it.
Trigonometric identity :
Similarly, an equation involving trigonometric ratios of an angle is called a trigonometric identity, if it is true for all values of the angle(s) involved.
Practice👩🏫:
(1+secA)/sec A = (sin^2 A)/(1-cos A)
Or
1 plus sec A upon sec A = sin square A upon 1 minus cos A
Trigonometric identities
Trigonometry playlist [latest]
Revise✍🏻:
Quadratic Equations
Polynomials
Real Numbers
Connect with us 🤩:
#ncert #class10maths #trigonometry
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