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Title : Shortcuts To Solve Trigonometric Expressions For Ssc Too Other Examinations
link : Shortcuts To Solve Trigonometric Expressions For Ssc Too Other Examinations

Shortcuts To Solve Trigonometric Expressions For Ssc Too Other Examinations

There are iii ratios inwards Trigonometry, total questions of trigonometry is based on these vi trigonometric ratios, fifty-fifty nosotros tin country alone iii primary trigonometric ratios are inwards the Trigonometry, residuum iii are the reciprocals of the primary trigonometric ratios.

Full Name in addition to Short Name of Trigonometric Ratios:

Sr. No.	Full Name	Short Name
1.	Sine	Sin
2.	Cosine	Cos
3.	Tangent	Tan
4.	Cotangent	Cot
5.	Secant	Sec
6.	Cosecant	Cosec

Basic Formulas of Trigonometry:

Formula Fort 01:
Hypotenuse^2 = Perpendicular^2 + Base^2
Perpendicular^2 =Hypotenuse^2 -  Base^2
Base^2 = Hypotenuse^2 -  Perpendicular^2

Formula Fort 02:
Sinx = Perpendicular / Hypotenuse
Cosx = Base / Hypotenuse
Tanx = Perpendicular / Base
Cosecx = Hypotenuse / Perpendicular
Secx = Hypotenuse / Base
Cotx = Base / Hypotenuse

Formula Fort 03:

Sinx=1/Cosecx

Sinx.Cosecx=1

Cosx=1/Secx

Cosx.Secx=1

Tanx=1/Cotx

Tanx.Cotx=1

Sin²x+Cos²x=1

Sin²x=1-Cos²x

Cos²x=1-Sin²x

Sec²x-Tan²x=1

Sec²x =1+Tan²x

Sec²x-1=Tan²x

Cosec²x-Cot²x=1

Cosec²x =1+Cot²x

Cot²x= Cosec²x-1

Tanx=Sinx/Cosx

Cotx=Cosx/Sinx

Questions in addition to Shortcut Solutions:

Q1. If Cosx=3/5 in addition to thus Sinx=?
Shortcut Solution:
Cosx=3/5=Base/Hypotenuse
So, Base=3 in addition to Hypotenuse=5
Since, Perpendicular^2 =Hypotenuse^2 -  Base^2
Find Perpendicular past times applying inwards a higher house formula which gives Perpendicular=4
Now, Sinx=Perpendicular / Hypotenuse = 4/5

Q2. If Secø+Tanø=2 in addition to thus Secø=?

Shortcut Solution:

Sec²ø-Tan²ø=1

(Secø-Tanø) (Secø+Tanø)=1

(Secø-Tanø) 2=1

(Secø-Tanø) =1/2 __________(1)

Also given,

 Secø+Tanø=2  __________(2)

Solve both the equations (1) in addition to (2), nosotros get

Secø = 5/4

Q3. Sec⁴ø-Sec²ø = ?

Shortcut Solution:

Sec⁴ø-Sec²ø

=Sec²ø (Sec²ø-1)

=Sec²ø Tan²ø

=(1+ Tan²ø)Tan²ø

=Tan²ø + Tan⁴ø

Q4. Find the value of Sin²75⁰+Cos²75⁰.

Shortcut Solution:

Since, Sin²ø+Cos²ø=1

so, Sin²75⁰+Cos²75⁰also volition live on equal to 1.

Q5. What volition live on the value of Sec²108⁰-Tan²108⁰.

Shortcut Solution:

Since, Sec²ø-Tan²ø=1

so, Sec²108⁰-Tan²108⁰also volition live on equal to 1.

Q6. Cosec²78⁰-Cot²78⁰=?

Shortcut Solution:

Since, Cosec²ø-Cot²ø=1

so, Cosec²78⁰-Cot²78⁰also volition live on equal to 1.

Thus the article Shortcuts To Solve Trigonometric Expressions For Ssc Too Other Examinations

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