Find the value of : Sec(90°–θ)Cosecθ–tan(90°–θ)Cotθ +Cos²25°+Cos²65°/ 3tan27°tan63°.
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SOLUTION IS IN THE ATTACHMENT.
Trigonometry is the study of the relationship between the sides and angles of a triangle.
Two angles are said to be complementary of their sum is equal to 90° .
θ & (90° - θ) are complementary angles.
An equation involving trigonometry ratios of an angle is called is called a trigonometric identity, if it is true for all values of the angles involved. For any acute angle θ, we have the following identities.
i) sin² θ + cos² θ = 1 , ii) 1 + tan² θ = sec² θ , iii) cot² θ +1 = cosec² θ, iv) tan θ = sin θ/cos θ , v) cot θ = cos θ / sin θ.
HOPE THIS WILL HELP YOU....
Trigonometry is the study of the relationship between the sides and angles of a triangle.
Two angles are said to be complementary of their sum is equal to 90° .
θ & (90° - θ) are complementary angles.
An equation involving trigonometry ratios of an angle is called is called a trigonometric identity, if it is true for all values of the angles involved. For any acute angle θ, we have the following identities.
i) sin² θ + cos² θ = 1 , ii) 1 + tan² θ = sec² θ , iii) cot² θ +1 = cosec² θ, iv) tan θ = sin θ/cos θ , v) cot θ = cos θ / sin θ.
HOPE THIS WILL HELP YOU....
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The answer is 2/3
using the formula
and identity of trigonometric ratios
using the formula
and identity of trigonometric ratios
Attachments:
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