If tan11θ = cot7θ, then what is the value of sin26θ + sec29θ + cosec212θ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 43/12
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Understanding |
Application |
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We know that: Tan (90° – A) = Cot A |
tan 11θ = cot 7θ We can write it as: tan11θ = tan (90° – 7θ) So, 11θ = 90° – 7θ ⇒ 18θ = 90° ⇒ θ = 5° |
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Put θ = 5° in the given expression. |
sin2 6θ + sec2 9θ + cosec2 12θ ⇒ sin230° + sec245° + cosec260° ⇒ 1/4 + 2 + 4/3 ⇒ (3 + 24 + 16)/12 = 43/12 |