Q. 35.0( 3 Votes )

Fill up the blanks by an angle between 0oand 90o:

(i) sin 70o = cos(…) (ii) sin 35o = cos(…)

(iii) cos 48o=sin (…) (iv) cos 70o = sin (…)

(v) cos 50o = sin (…) (vi) sec 32o=cosec(…)

Answer :

(i) We know that


Sin θ = cos (90° - θ)


Here, θ = 70°


sin 70° = cos(90° -70°)


sin 70° = cos 20°


(ii) We know that


Sin θ = cos (90° - θ)


Here, θ = 35°


sin 35° = cos(90° -35°)


sin 35° = cos 55°


(iii) cos θ = sin (90° - θ)


Here, θ = 48°


cos 48° = sin (90° - 48°)


cos 48° = sin 42°


(iv) cos θ = sin (90° - θ)


Here, θ = 70°


cos 70° = sin (90° - 70°)


cos 70° = sin 20°


(v) cos θ = sin (90° - θ)


Here, θ = 50°


cos 50° = sin (90° - 50°)


cos 50° = sin 40°


(vi) sec θ = cosec (90°-θ)


Here, θ = 32°


sec 32° = cosec(90° 32°)


sec 32° = cosec 58°


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