What is the value of sin²-Cos²=?
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Hey mate,
Here is ur answer.....
☆ sin²+ cos²= 1
OTHER BASIC PROPERTIES OF TRIGNOMETRY:
☆ sec²- tan² = 1
☆ cosec²= 1+ cot²
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Answered by
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The value of sin²-Cos²= 1
The value of sin² - cos² can be found by using the trigonometric identity:
sin²(x) - cos²(x) = sin²(x) - (1 - sin²(x)) = sin²(x) - 1 + sin²(x) = 2sin²(x) - 1.
There are many trigonometric identities, but some of the most commonly used include:
- Pythagorean identities: These are two identities that relate the sine, cosine, and tangent of an angle to the lengths of the sides of a right triangle. The two identities are:
sin²x + cos²x = 1
1 + tan²x = sec²x
- reciprocal identities: These identities express the reciprocal trigonometric functions in terms of the original functions. They are:
csc(x) = 1/sin(x)
sec(x) = 1/cos(x)
cot(x) = 1/tan(x)
- quotient identities: These identities express the quotient of two trigonometric functions in terms of the original functions. They are:
tan(x) = sin(x)/cos(x)
cot(x) = cos(x)/sin(x)
- co-function identities: These identities express the trigonometric functions of complementary angles in terms of the original functions. They are:
sin(90-x) = cos(x)
cos(90-x) = sin(x)
tan(90-x) = cot(x)
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