Important Questions of Introduction to Trigonometry Mathematics | Zigya

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 Multiple Choice QuestionsShort Answer Type

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311. If 2 tanθ = 1. Find the value of fraction numerator 3 space cosθ plus 2 sinθ over denominator 2 cosθ minus sinθ end fraction
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312.

Prove that fraction numerator sinθ minus 2 sin cubed straight theta over denominator 2 cos cubed straight theta minus cosθ end fraction

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 Multiple Choice QuestionsLong Answer Type

313. Prove that fraction numerator cosA over denominator 1 minus tanA end fraction plus fraction numerator sinA over denominator 1 minus cotA end fraction equals sinA plus cosA
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 Multiple Choice QuestionsShort Answer Type

314. Prove that: (1 + cotθ – cosecθ) (1 + tanθ + secθ) = 2
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315. Prove that fraction numerator tanA plus secA minus 1 over denominator tanA minus secA plus 1 end fraction equals fraction numerator 1 plus sinA over denominator cosA end fraction
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316. Without using trigonometric tables, evaluate the following: 
11 over 7. fraction numerator sin space 70 degree over denominator cos space 20 degree end fraction minus 4 over 7. space fraction numerator cos space 53 degree. space cosec space 37 degree over denominator tan space 15 degree. space tan space 35 degree. space tan space 55 degree. space tan space 75 degree end fraction
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317. Without using trigonometric tables, evaluate the following: 
fraction numerator sin space 18 degree over denominator cos space 72 degree end fraction plus square root of 3 left square bracket tan space 10 degree space. space tan space 30 degree. space tan space 40 degree. space tan space 50 degree. space tan space 80 degree right square bracket

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318. Without using trigonometric tables, evaluate the following: 
left parenthesis sin squared 25 degree space plus space sin squared 65 degree right parenthesis space plus space square root of 3 left parenthesis tan 5 degree. space tan 15 degree. space tan 30 degree. space tan 75 degree. space tan 85 degree. right parenthesis


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319. Without using trignometric tables, evaluate the following: 
(cos225°+ cos265°) + cosecθ . sec (90–θ°) – cotθ . tan (90-θ°)
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320. Without using trignometric tables, find the value of the following:
open parentheses fraction numerator tan 20 degree over denominator cosec 70 degree end fraction close parentheses squared plus open parentheses fraction numerator cot space 20 degree over denominator sec space 70 degree end fraction close parentheses squared plus 2 tan 15 degree. space tan 45 degree. space tan 75 degree
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