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Trigonometry Short Tricks | Formulas, Hand/Table ट्रिक्स, 10 मिनट में याद करे

Trigonometry Tricks

Importance of Trigonometry has increased significantly in competitive exams. Generally 2 to 3 questions are asked from trigonometry and because Most of the questions are asked based on Trigonometry Short Tricks, so if you read this page well then you can score good marks in examination.

We also given almost all the related formula related to Trigonometry here, which will be very helpful in solving the questions. Candidates who are preparing for the examinations, it is also very useful for them.

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Trigonometry Short Tricks

10 मिनट में याद करे Trigonometry Table


Shortcut Tricks to Remember Trigonometry Table

  • Fill in the values for the sine column
  • Place the sine column entries in the cosine column in reverse order
  • Divide your sine values by the cosine values to fill the tangent column
  • Divide 1 by the sine values to find the cosecant of an angle
  • Divide 1 by the cosine values or write cosecant column entries in reverse order in the secant column
  • Fill the cotangent column by reversing the values from the tangent column

Trigonometric Basic Formulas

Shortcut Tricks to Learn Trigonometric Formulas

Some People Have, Curly Black Hair through Proper Brushing

Here, Some People Have is for

sin θ= Perpendicular / Hypotenuse

Curly Black Hair is for

cos θ= Base / Hypotenuse

Through Proper Brushing is for

tan θ= Perpendicular / Base

Important Short Tricks on Trigonometric Identities

Reciprocal Identities

Pythagorean Identities

Opposite Angle Identities

  • sin (-θ) = – sin θ
  • cos (-θ) = cos θ
  • tan (-θ) = – tan θ
  • cot (-θ) = – cot θ
  • sec (-θ) = sec θ
  • cosec (-θ) = – cosec θ

Tangent and Cotangent Identities

Check Here – How to Prepare Maths for Competitive Exams 

Tricks to find maximum & minimum Values

90 – θ Formula

  • sin (90° – θ) = cos θ
  • cos (90° – θ) = sin θ
  • tan (90° – θ) = cot θ
  • cosec (90° – θ) = sec θ
  • sec (90° – θ) = cosec θ
  • cot (90° – θ) = tan θ

90 + θ Formula

  • sin (90° + θ) = cos θ
  • cos (90° + θ) = – sin θ
  • tan (90° + θ) = – cot θ
  • cosec (90° + θ) = sec θ
  • sec (90° + θ) = – cosec θ
  • cot (90° + θ) = – tan θ 

Other Important Tricks 

If a cot θ + b cosec θ = m and a cosec θ + b cot θ = n

If cot θ + cos θ = x and cot θ – cos θ = y

If tan θ + sin θ = x and tan θ – sin θ = y

Also Check – How to Prepare For Written Examination

Example: Maximum value of (2 sin θ + 3 cos θ) is

Solution:

Maximum value of 2 sin θ + 3 cos θ

Example: The minimum value of 4 tan2 θ + 9 cot2 θ is equal to:

Solution:

Here, a = 9 and b = 4

Minimum value of a tan2 θ + b cot2 θ

Example: Find the value of tan 4° x tan 43° x tan 47° x tan 86°

Solution:

tan 4° x tan 43° x tan 47° x tan 86°

= tan 4° x tan 43° x tan (90° – 43°) x tan (90° – 4°)

[tan (90° – θ) = cot θ  and tan θ x cot θ = 1]

= tan 4° × tan 43° × cot 43° × cot 4°

= 1

जो छात्र परीक्षा की तैयारी कर रहे हैं और अच्छे अंक प्राप्त करना चाहते हैं, वे Trigonometry Short Tricks, Trigonometry Tricks का उपयोग करके अपनी परीक्षा की तैयारी शुरू कर सकते हैं। हमने इस पृष्ठ पर 10 मिनट में Trigonometry Table याद करने के लिए शॉर्टकट ट्रिक्स प्रदान की हैं।

यदि आपके पास कोई प्रश्न है तो नीचे दिए गए टिप्पणी बॉक्स के माध्यम से हमारे साथ साझा कर सकते हैं।

Something That You Should Put An Eye On

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