For 0≤theta≤pi/2, what is the simplified form of cos^(-1)(sin theta)?

D. pi / 2 - theta

Step 1: use the identity sin theta = cos(pi/2-theta). Step 2: in the given range, pi/2-theta lies in the principal range, so the answer is pi/2 - theta. Step 3: tip: convert sine to cosine using complementary angle.

Step 1: identity sin theta = cos(pi/2-theta) पहचानिए। Step 2: given range में pi/2-theta principal range में आता है, इसलिए answer pi/2 - theta है। Step 3: tip: sin को cos में बदलते समय complementary angle याद रखें।