Question

1-sin A
(ii)
sec A-tan A
1 + sin A​

Answer 1

Answer:

√{(1 - sina)/(1 + sina)} = seca - tana

Step-by-step explanation:

L.H.S. = √{(1 - sina)/(1 + sina)}

= √[{(1 - sina)(1 - sina)}/{(1 + sina)(1 - sina)}]

= √{(1 - sina)²/(1 - sin²a)}

= √{(1 - sina)²/cos²a}

= √{(1 - sina)/cosa}²

= (1 - sina)/cosa

= 1/cosa - sina/cosa

= seca - tana = R.H.S.

Hence proved.

Trigonometry: Trigonometry is the study of angles and relations between angles and their sin, cos, tan, cosec, sec, cot ratios. There are many formulae for calculations:

• sin²A + cos²A = 1

• sec²A - tan²A = 1

• cosec²A - cot²A = 1

• sin2A = 2 sinA cosA

• cos2A = cos²A - sin²A

• tan2A = 2 tanA / (1 - tan²A)