Question

the value of (sin 30°+cos30°)-(sin60°+cos60°)is if tan A= 3/4what is the value of sec A +tan A​

Answer 1

Answer:

(i) (sin30° + cos30°) - (sin60° + cos60°) = 0

(ii) secA + tanA = 2

Step-by-step explanation:

(i) (sin30° + cos30°) - (sin60° + cos60°)

= (sin30° + cos30°) - [sin(90°-30°) + cos(90°-30°)]

= (sin30° + cos30°) - (cos30° + sin30°)

= 0

(ii) Given: tanA = 3/4

w.k.t., sec²β = 1+tan²β

⇒ sec²A = 1+(3/4)² = 1+9/16 = (16+9) / 16 = 25/16

⇒ secA = 5/4

So, secA + tanA = 5/4 + 3/4 = 8/4 = 2

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