# If A+B=90o, then fill up the blanks with suitable trigonometric ratio of complementary angle of A or B.(i) sin A =…. (ii) cos B =…(iii) sec A =… (iv) tan B =…(v) cosec B =… (vi) cot A=…

(i) Here, A+B = 90°

A = 90° - B

Multiplying both sides by Sin, we get

Sin A = Sin (90° - B)

sin A = Cos B [ cos θ = sin (90° - θ)]

(ii) Here, A+B = 90°

B = 90° - A

Multiplying both sides by cos, we get

Cos B = cos (90° - A)

cos B = sin A [ Sin θ = cos (90° - θ)]

(iii) Here, A+B = 90°

A = 90° - B

Multiplying both sides by sec, we get

Sec A = Sec (90° - B)

sec A = Cosec B [ cosec θ = sec (90° - θ)]

(iv) Here, A+B = 90°

B = 90° - A

Multiplying both sides by tan, we get

tan B = tan (90° - A)

tan B = cot A [ cot θ = tan (90° - θ)]

(v) Here, A+B = 90°

B = 90° - A

Multiplying both sides by cosec, we get

Cosec B = cosec (90° - A)

cosec B = sec A [ sec θ = cosec (90° - θ)]

(vi) Here, A+B = 90°

A = 90° - B

Multiplying both sides by Sin, we get

cotA = cot (90° - B)

cot A = tan B [ tan θ = cot (90° - θ)]

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