Use the information that sin⁡θ=35 and 90°<θ<180° to answer the following questions. Part A: Which equation shows cos2θ+sin2θ=1 correctly rewritten to isolate cos θ? Part B: What are the possible values of cos⁡ θ (if the quadrant is not considered)? Part C: What is the correct value of cos θ (based on the quadrant)?

(a)

(b)

(c)

Step-by-step explanation:

Given that  90°< θ<180°  and

Since  90°< θ<180° so θ lies in second quadrant where sinθ is positive but cosθ is negative.

(a) The identity,

Sin²θ+cos²θ= 1

⇒cos²θ=1-sin²θ

(b)

   [ Since the quadrant is not considered]

(c)

   [ since cos θ is negative in second quadrant]

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step-by-step explanation: