TS EAMCET · Maths · Trigonometric Ratios & Identities
If , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Given: tanA=23 Now, cos2A=1-tan2A1+tan2A ⇒cos2A=1-491+49 ⇒cos2A=513 Also, sinA=213 and cosA=313 So, sin4A=2sin2Acos2A ⇒sin4A=4sinAcosAcos2A ⇒sin4A=4×2×313×513 ⇒sin4A=120169
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