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The value of (65^0+ )- (25^0- )- (55^0- )+ (35^0+ ) is

Question

The value of $csc (6 5^{0} + θ) - sec (2 5^{0} - θ) - tan (5 5^{0} - θ) + cot (3 5^{0} + θ)$ is

0

- 1

θ + 90

None of these

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The value of

csc (6 5^{0} + θ) - sec (2 5^{0} - θ) - tan (5 5^{0} - θ) + cot (3 5^{0} + θ)

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Text solutionVerified

Given,

csc (6 5^{\circ} + θ) - sec (25 - θ) - tan (55 - θ) + cot (35 + θ)

= csc (9 0^{\circ} - 2 5^{\circ} + θ) - sec (2 5^{\circ} - θ) - tan (5 5^{\circ} - θ) + cot (9 0^{\circ} - 5 5^{\circ} + θ)

= csc (9 0^{\circ} - (2 5^{\circ} - θ)) - sec (2 5^{\circ} - θ) - tan (5 5^{\circ} - θ) + cot (9 0^{\circ} - (5 5^{\circ} - θ))

= sec (2 5^{\circ} - θ) - sec (2 5^{\circ} - θ) - tan (5 5^{\circ} - θ) + tan (5 5^{\circ} - θ)

= 0

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Question Text	The value of $csc (6 5^{0} + θ) - sec (2 5^{0} - θ) - tan (5 5^{0} - θ) + cot (3 5^{0} + θ)$ is
Answer Type	Text solution:1
Upvotes	150