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ML Aggarwal Solutions Class 10 Mathematics Solutions for Trigonometric Identities Exercise 18 in Chapter 18 - Trigonometric Identities
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(cos2 25o + cos2 65o) + cosec θ sec (90o – θ) – cot θ tan (90o – θ)
Answer:
Solution:
Trigonometric identities are equalities in trigonometry that use trigonometric functions and are valid for any value of the variables that occur and are specified on both sides of the equality.
Given,
(cos2 25o + cos2 65o) + cosec θ sec (90o – θ) – cot θ tan (90o – θ)
= cos2 25o + cos2 (90o – 25o) + cosec θ sec (90o – θ) – cot θ. cot θ
= (cos2 25o + sin2 25o) + (cosec2 θ – cot2 θ)
= 1 + 1 = 2
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