Math, asked by soniachanu87, 4 months ago

what is the value of 3tan²θ - 3sec²θ. by 4​

Answers

Answered by LEGENDARYSUMIT01
0

Answer:

Let's trigonometric identities for we know that

tan ²Φ - sec²Φ = 1

In the given question ,

3 tan ²Φ - 3 sec²Φ = 4

Taking 3 common,

3 (tan ²Φ- sec ²Φ)/4

Using identities,

3(1)/4=3/4 is the answer

Answered by TrustedAnswerer19
87

   \pink{ \boxed{\boxed{\begin{array}{cc} \maltese  \bf \: we \: know \: that \\   \\ \bf \: {sec}^{2}  \theta -  {tan}^{2} \theta = 1 \\ \\  \bf \implies \:  - ( {tan}^{2} \theta -  {sec}^{2}\theta) = 1 \\   \\ \bf \implies \:  {tan}^{2} \theta -  {sec}^{2}\theta =  - 1 \:  \:  \:  -  - (1) \\  \\    \orange{{\boxed{\begin{array}{cc} \maltese  \bf \: now \: given \\  \\  \bf \: \frac{3 {tan}^{2}\theta - 3 {sec}^{2}\theta  }{4}   \\   \\ \bf =  \frac{3( {tan}^{2}\theta -  {sec}^{2}  \theta)}{4}  \\ \\  \bf =  \frac{3  \times (   - 1)}{4}   \:  \:  \:  \{ \sf \: by \: eqn .(1) \} \\  \\  =  -  \frac{3}{4} \end{array}}}}  \end{array}}}}

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