Question

sec square theta minus cos square /ø equal to sin square ø + tan square theta​

Answer 1

Step-by-step explanation:

According to trigonometric identities,

sin² A + cos² A = 1

here A is considered as ø

=> sin² ø + cos² ø = 1 ---------- (1)

And sec² A - tan² A = 1

here A is considered as theta

=> sec² theta - tan² theta = 1 ------------- (2)

From (1) & (2)

sin² ø + cos² ø = sec² theta - tan² theta

=> sin² ø + tan² theta = sec² theta - cos² ø

Hence proved