Question

Q17. If sin(ɵ+34°)=cosɵ and ɵ is acute ; then ɵ=? a) 56° b) 66° c) 28° d) 42
​

Answer 1

Answer:

c is the correct ans...

Answer 2

sin(ɵ + 34°) = cosɵ

Now, we know  cosɵ = sin(90° - ɵ)

so, interchange it

sin(ɵ + 34°) = sin(90° - ɵ)

compare

(ɵ + 34°) = (90° - ɵ)

ɵ + 34° = 90° - ɵ

ɵ + ɵ = 90° - 34°

2ɵ = 56°

ɵ = 56°/2

ɵ = 28°