Express tan 18°+cosec27° in terms of trigonometric ratios of angle between 45° & 90°.
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⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐
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❄❄❄❄ REMEMBER ❄❄❄❄
➡ sin (90°-x) = cos x.
➡ cos (90°-x) = sin x.
➡ tan (90°-x) = cot x.
➡ cot (90°-x) = tan x.
➡ sec (90°-x) = cosec x.
➡ cosec (90°-x) = sec x.
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❄❄❄❄ SOLUTION ❄❄❄❄
tan 18° + cosec 27°
= tan (90°-72°) + cosec (90°-63°)
= cot 72° + sec 63° [Ans.]
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⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐
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❄❄❄❄ REMEMBER ❄❄❄❄
➡ sin (90°-x) = cos x.
➡ cos (90°-x) = sin x.
➡ tan (90°-x) = cot x.
➡ cot (90°-x) = tan x.
➡ sec (90°-x) = cosec x.
➡ cosec (90°-x) = sec x.
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❄❄❄❄ SOLUTION ❄❄❄❄
tan 18° + cosec 27°
= tan (90°-72°) + cosec (90°-63°)
= cot 72° + sec 63° [Ans.]
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⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐
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