If tan θ = 34, what is sin θ + cos θsin θ − cos θ?
यदि tan θ = 34 है, तो sin θ + cos θsin θ − cos θ का मान क्या है?
Answer और ExplanationAnswer and explanation
Answer: (B) −7
tan θ = PB = 34 ⇒ लंब (Perpendicular) P = 3, आधार (Base) B = 4, कर्ण (Hypotenuse) H = 5
sin θ = 35, cos θ = 45
sin θ + cos θsin θ − cos θ = 35 + 4535 − 45 = 7−1 = −7
✓
मान −7 है।
tan θ = PB = 34 ⇒ P = 3, B = 4, H = 5
sin θ = 35, cos θ = 45
sin θ + cos θsin θ − cos θ = 35 + 4535 − 45 = 7−1 = −7
✓
The value is −7.
SMART APPROACH
अंश (Numerator) और हर (Denominator) दोनों को cos θ से भाग दो: tan θ + 1tan θ − 1 = 3 + 43 − 4 = −7।
Divide the numerator and the denominator by cos θ: tan θ + 1tan θ − 1 = 3 + 43 − 4 = −7.
Source: Selection Post Phase XIV (12th) · 17 Sep 2026 · Shift 2। Solution: Prashant Sir, Vijayastra।Source: Selection Post Phase XIV (12th) · 17 Sep 2026 · Shift 2. Solution by Prashant Sir, from Vijayastra.