Advertisement Remove all ads

Prove that Cot θ. Tan (90° - θ) - Sec (90° - θ). Cosec θ + 1 = 0. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Sum

Prove that cot θ. tan (90° - θ) - sec (90° - θ). cosec θ + 1 = 0.

Advertisement Remove all ads

Solution

LHS = cot θ. tan (90° - θ) - sec (90° - θ). cosec θ + 1

= cot θ. cot θ - cosec θ. cosec θ + 1

= (cot2θ - cosec2θ) + 1

= - 1 + 1 = 0
= RHS
Hence proved.

Concept: Trigonometric Identities
  Is there an error in this question or solution?

APPEARS IN

ICSE Class 10 Mathematics
Chapter 18 Trigonometry
Exercise | Q 20
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×