Math, asked by IITGENIUS1234, 10 months ago

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\mathsf { {sec}^{2}\pi  \:  +   \: 2 .{sin}^{2} {\dfrac{3\pi}{2}} -  {tan}^{2}{ \dfrac{5\pi}{3}}}

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Answered by siddhartharao77
4

Answer:

0

Step-by-step explanation:

Given Equation is sec²π + 2 sin²(3π/2) - tan²(5π/3)

= (1/cos²(π)) + 2 cos²(-π) - tan² (2π/3)

= 1 + 2 cos² (π) - (-√3)²

= 1 + 2(-1)² - 3

= 1 + 2 - 3

= 0


Hope this helps!


siddhartharao77: :-)
IITGENIUS1234: in the second step, you wrote tan^2 (2pi/3) instead of tan^2 (5pi/3)
siddhartharao77: Given tan²(5π/3)

= tan(π + 2/3π)

= tan(2/3 π)

= tan(2π/3)
IITGENIUS1234: how pi was eleminated
siddhartharao77: value of pi is 180!
Answered by Siddharta7
1

Answer:

0

Step-by-step explanation:

sec^2(π) + 2 sin^2(3π/2) - tan^2(5π/3)

(1) + 2 (-1)^2 - (-√3)^2

1 + 2 - 3

0

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