Hello Readers,
In this post we are sharing some c which are useful for SSC, Railways and other exams.
Pythagorean Identities:
- sin2 ɸ + cos2 ɸ = 1
- 1 + tan2 ɸ = sec2 ɸ
- 1 + cot2 ɸ = cosec2 ɸ
Reciprocal Identities:
- sin ɸ = 1/cosec ɸ
- cos ɸ = 1/sec ɸ
- tan ɸ = 1/cot ɸ
Ratio Identities:
- tan ɸ = sin ɸ/cos ɸ
- cot ɸ = cos ɸ/sin ɸ
Even/Odd Identities:
- sin (-ɸ) = – sin ɸ cosec (-ɸ) = – cosec ɸ
- cos (-ɸ) = cos ɸ sec (-ɸ) = sec ɸ
- tan (-ɸ) = – tan ɸ cot (-ɸ) = – cot ɸ
Cofunction Identities:
- sin (90-ɸ) = cos ɸ cos (90-ɸ) = sin ɸ
- tan (90-ɸ) = cot ɸ cot (90-ɸ) = tan ɸ
- sec (90-ɸ) = cosec ɸ cosec (90-ɸ) = sec ɸ
- sin (90+ɸ) = cos ɸ cos (90+ɸ) = – sin ɸ
- tan (90+ɸ) = – cot ɸ cot (90+ɸ) = – tan ɸ
- sec (90+ɸ) = – cosec ɸ cosec (90+ɸ) = sec ɸ
Values of some Trigonometric Functions:
Click here to read: How to find Minimum and Maximum values of Trigonometric Functions
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