Question

the value of theta for cos(10°+theta)=sin30°is​

Answer 1

50

Step-by-step explanation:

cos (10+ theta)= cos (90-30)

10+theta=60

theta=60-10=50

Answer 2

The value of ∅ is 50°

Step-by-step explanation:

To find the value of ∅  in cos(10°+∅) = sin 30°

Now as we know

sinФ= cos( 90°-Ф)

therefore

we have

cos(10°+∅) = sin 30°

⇒ cos (10°+∅) = cos (90°-30°) ------(i)

Now if sinA= sinB then A= B

(i) becomes

10°+∅=90°-30°

⇒10°+∅=60°

⇒∅=60°-10°

⇒∅=50°

Hence the value of ∅ is 50°

# Learn more

If sin theta= cos theta , find the value of theta

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